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An equilateral triangle $$T_2$$ is formed by joining the mid points of the sides of another equilateral triangle $$T_1$$. A third equilateral triangle $$T_3$$ is formed by joining the mid points of $$T_2$$ and this process is continued indefinitely. If each side $$T_1$$ is 40 cm, find the sum of the perimeters of all the triangles.
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