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Finding the Fourth Proportional to 508,384,805.10, 762,577,207.65 and 508,384,805.10

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Solution

The fourth proportional to 508,384,805.10, 762,577,207.65 and 508,384,805.10 is: 762,577,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,384,805.10 : 762,577,207.65 = 508,384,805.10 : x
  2. Step 2: Convert to fraction form
    508,384,805.10/762,577,207.65 = 508,384,805.10/x
  3. Step 3: Cross multiply
    508,384,805.10x = 762,577,207.65 × 508,384,805.10
  4. Step 4: Simplify right side
    508,384,805.10x = 387,682,665,084,847,488
  5. Step 5: Solve for x
    x = 387,682,665,084,847,488/508,384,805.10
  6. Step 6: Final answer
    x = 762,577,207.65

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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.