No he didn't. He made his billions off of his own intelligence, hard work, and willingness to take risks.
There are plenty of more intelligent, harder working, risk-seeking individuals who couldn't possibly have Eduardo's success simply because they don't live in America. Free enterprise is a powerful thing, and America is one of the few places that has the necessary combination of IP protection and lack of regulation, among other things, that made his success possible in the first place.
Even if you don't want to give the American economic structure its due credit (which seems odd coming from you), at a bare minimum, it was the American public (i.e. taxpayers) who got his project booming. Paying his taxes seems reasonable.
In any case, he doesn't owe any back taxes. That's WHY he's trying to renounce his citizenship, which is a perfectly legal way to avoid having to owe taxes.
Circular reasoning. The question isn't whether or not it is legal, it's whether or not it should be legal (to do freely, at any rate).
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Fire Emblem: Awakening has the best soundtrack ever. Listen to it \/
http://www.youtube.com/user/Westbrick8