If I'm dating a chick who's at least sixteen times richer than I am, do I still have to pay for everything?

She thinks I'm rich but my dad only makes $300,000 a year and her dad is some big shot commodities trader working for Goldman Sachs who makes $5mil a year. Anyway we're both in college, she's 18 and I'm 20 and she likes it when I take her out to expensive restaurants and clubs but I end up spending at least $300 a night with her and my credit cards are pretty much maxed out. She insists on paying sometimes or going Dutch but I my pride prevents me from letting her. What should I do?