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Finding the Fourth Proportional to 567,652,237.10, 851,478,355.65 and 506,430,233.90

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Solution

The fourth proportional to 567,652,237.10, 851,478,355.65 and 506,430,233.90 is: 759,645,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,652,237.10 : 851,478,355.65 = 506,430,233.90 : x
  2. Step 2: Convert to fraction form
    567,652,237.10/851,478,355.65 = 506,430,233.90/x
  3. Step 3: Cross multiply
    567,652,237.10x = 851,478,355.65 × 506,430,233.90
  4. Step 4: Simplify right side
    567,652,237.10x = 431,214,382,812,616,832
  5. Step 5: Solve for x
    x = 431,214,382,812,616,832/567,652,237.10
  6. Step 6: Final answer
    x = 759,645,350.85

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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.