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Three circles C1,C2,C3C_1, C_2, C_3C1,C2,C3 of radii a,b,ca , b, ca,b,c, respectively, touch each other externally at three different points, as shown in the figure above.
If their points of contact are all 4 units away from the radical center OOO of the three circles, then evaluate abca+b+c. \dfrac{abc}{a+b+c}.a+b+cabc.
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