How can I get talking to this girl if she's from the US and I'm from the UK?

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I'm 15. So I was scrolling through twitter and came across this girl. I read some of her tweets and she like exactly the same stuff that I like! But I'm English and she's from the US + she's 16 and, looks-wise, way out of my league in my opinion. We've tweeted each other a couple of times but I don't want to seem too eager. She posted something on her ask.fm about breaking up with her boyfriend only a few weeks ago. I really want to get to know her without seeming to eager. It'd be cool just to message her often or maybe get her Skype or something, but because she's American I don't know how to go about this, because I usually talk to girls face-to-face to get to know them. Any advice?