Midpoint of a midpoint, then what?

Geometry Level 2

ABAB is 60 units long. CC is the midpoint of ABAB. DD is the midpoint of CBCB. EE is twice as far from BB as it is from DD such that it is between DBDB. FF is four times as far from CC as it is from AA. Find FC+DEFC + DE.

Note: This problem is taken from the Mathizen Question of the Day.

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