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Finding the Fourth Proportional to 508,296,859.20, 762,445,288.80 and 508,296,859.20

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Solution

The fourth proportional to 508,296,859.20, 762,445,288.80 and 508,296,859.20 is: 762,445,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,296,859.20 : 762,445,288.80 = 508,296,859.20 : x
  2. Step 2: Convert to fraction form
    508,296,859.20/762,445,288.80 = 508,296,859.20/x
  3. Step 3: Cross multiply
    508,296,859.20x = 762,445,288.80 × 508,296,859.20
  4. Step 4: Simplify right side
    508,296,859.20x = 387,548,545,608,876,928
  5. Step 5: Solve for x
    x = 387,548,545,608,876,928/508,296,859.20
  6. Step 6: Final answer
    x = 762,445,288.80

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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.