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Finding the Fourth Proportional to 567,652,003.10, 851,478,004.65 and 506,429,999.90

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Solution

The fourth proportional to 567,652,003.10, 851,478,004.65 and 506,429,999.90 is: 759,644,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,652,003.10 : 851,478,004.65 = 506,429,999.90 : x
  2. Step 2: Convert to fraction form
    567,652,003.10/851,478,004.65 = 506,429,999.90/x
  3. Step 3: Cross multiply
    567,652,003.10x = 851,478,004.65 × 506,429,999.90
  4. Step 4: Simplify right side
    567,652,003.10x = 431,214,005,809,751,680
  5. Step 5: Solve for x
    x = 431,214,005,809,751,680/567,652,003.10
  6. Step 6: Final answer
    x = 759,644,999.85

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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.