Externally and internally tangent

Geometry Level 3

I have 3 circles whose ratio of radii is \(1:2:3\). I draw these 3 circles such that they are externally tangent to each other. I then draw another circle such that it is internally tangent to all these 3 circles.

Of all the 4 circles drawn, what is the ratio of areas between the largest circle and the smallest circle?

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