I am in Duke which has a decent reputation in my field but is not close to ETH/Oxford/Cambridge/MIT/UC Berkeley and especially Harvard. Yet the fees here are (AFAIK) much higher than Berkeley and slightly higher than MIT/Harvard (and of course far far higher than ETH/Oxbridge). 1-semester tuition or undergrads is $50k, which means a degree is $400000 and with living expenses that works out to more than half a million dollars. Most other pvt colleges are not *that* high but are comparable.
I don't believe the undergrad education here is substantially better than most decent European schools - say, LMU Munich. LMU is free for anyone.
But I'm sure Duke has much better dining, world-class sports facilities and celebrity coaches, great parties, TVs all over the common areas, etc.