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In the figure, two circles of radius $1$ inch are internally tangent to a circle of radius $5$ inches so that the centers of all three circles are collinear. The shaded fourth circle is tangent to each of the other three circles as shown. What is the radius of the shaded circle? Express your answer as a common fraction. 

 Feb 11, 2024
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Nothing shown....

 

 

cool cool cool

 Feb 11, 2024

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