Google Circles 2018!

Geometry Level 3

In the diagram below, 3 circles are externally tangential to one another and internally tangential to the largest, 4\(^\text{th}\) circle. Three of these four circles--except for the smallest one--have their centers on a diameter of the largest circle. The second and third largest circles have radii 14 and 7, respectively.

What is the radius of the smallest circle?

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