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Each of four unit sphere is externally tangent to the other three.  A larger sphere is tangent to all four of these.  Find the radius of the larger sphere.

 Jan 4, 2020
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Hint: Build right triangles using the radii to points of tangency. Check AoPs and mindyourdecisions (YouTube) for examples.

 Jan 4, 2020
edited by Mathc1  Jan 5, 2020

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