答案：C

考查时态。was to become world famous.带有情态意味， 含有“势必， 一定会。。。。” 的意思，  the one that was to become world famous 再此相当于the one that was on the way to becoming world famous ="the" one that was sure/ certain to become world famous 而A. would become 只是一般意义上的预见。 这个主要取决于上下文， 和作者对所述之事的肯定程度。