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Finding the Fourth Proportional to 408,716,412.80, 613,074,619.20 and 408,716,412.80

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Solution

The fourth proportional to 408,716,412.80, 613,074,619.20 and 408,716,412.80 is: 613,074,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,716,412.80 : 613,074,619.20 = 408,716,412.80 : x
  2. Step 2: Convert to fraction form
    408,716,412.80/613,074,619.20 = 408,716,412.80/x
  3. Step 3: Cross multiply
    408,716,412.80x = 613,074,619.20 × 408,716,412.80
  4. Step 4: Simplify right side
    408,716,412.80x = 250,573,659,138,150,048
  5. Step 5: Solve for x
    x = 250,573,659,138,150,048/408,716,412.80
  6. Step 6: Final answer
    x = 613,074,619.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.