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Finding the Fourth Proportional to 512,204,713.80, 767,299,301.10 and 307,123,600.20

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Solution

The fourth proportional to 512,204,713.80, 767,299,301.10 and 307,123,600.20 is: 460,081,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,204,713.80 : 767,299,301.10 = 307,123,600.20 : x
  2. Step 2: Convert to fraction form
    512,204,713.80/767,299,301.10 = 307,123,600.20/x
  3. Step 3: Cross multiply
    512,204,713.80x = 767,299,301.10 × 307,123,600.20
  4. Step 4: Simplify right side
    512,204,713.80x = 235,655,723,784,775,808
  5. Step 5: Solve for x
    x = 235,655,723,784,775,808/512,204,713.80
  6. Step 6: Final answer
    x = 460,081,130.52

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