The French language, at least, is an emergent pluricentric language, one with multiple standards (major standards, as Wikipedia indicates, with Canadian and French variants, minor variants in Belgium and Switzerland and Acadia, emergent variants in the Caribbean, Africa, and the Pacific). The fact that these standards exist has at least as much to do with the political fragmentation of the Francophone world as it does with the fact that that a slim but growing majority of speakers of French live outside of metropolitan France. (Some of) the French might still resist the influence of other Francophone cultures, but theirs is a losing battle.
Insofar as it's possible to make comparisons, the Russian language now is where the French language was in the 1960s. Despite the collapse of the Soviet Union, the Russian language's speakers are still widely distributed across Eurasia; more, unlike French in 1962, Russia in 1992 started out with tens of millions of people living outside the frontiers of the Federation who spoke Russian as a first language. Unlike French in 1962, though, the Russian language was placed in direct competition with other languages already well-established as standards and was indeed often unpopular because of its prior associations, while many of the Russian first-language speakers who found themselves outside of Russia's frontiers have emigrated to Russia. As Russophone populations contract through natural decrease, as Central Asia and the Caucasus become more nationally homogeneous, as the Baltic States continue their effective monolingualism, and--most critically--as Russia's western neighbours promote their languages (Ukrainian, Moldovan/Romanian, perhaps soon Belarusian) ahead of Russian, the influence of the Russian language will inevitably decrease.
The Russian language is now facing a critical period. Russian may well manage to hold its own, experiencing only limited decline, if Russian economic growth continues and the Federation's cultural and political weight grows. Even now, measured on a variety of metrics (population, GDP, land area) Russian is as important a Western language as French or Portuguese. Allowing the growth of regional variants of the Russian language--in the Baltic States, in Ukraine, in Central Asia--will, if anything, make the Russian language more attractive. Harassing non-Russian speakers of Russian to the point of denying them the right to name their own countries is exactly the sort of hegemonic behaviour that will make other languages seem more attractive, relatively easily as second languages and perhaps even as first languages. People don't like to be told what to say.
UPDATE (8:24 AM, 27 June) : HTML corrected.