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to learn the new language through his second language, is going to be just how fluent he is in that second language. If he's extremely fluent, he'll probably do just fine.
However, French is a whole lot closer to English than is Chinese, so I'm thinking it would be easier to learn French from English, because grammar and vocabulary have a lot in common.
In general, once you've learned one foreign language, the subsequent ones are much easier, because your brain has already been stretched. In this case, your son is already learning a language very different from his native language, which is already stretching his brain a lot more than learning a more similar one.
I don't know of any actual research connected to your question, but I've read lots of stuff about learning languages over the years, and it seems as if there's no practical limit to the number of languages any one person can learn, other than practical time constraints. If your sons learn two "foreign" languages this early, they will find it very easy to learn as many as they want to.
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