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Finding the Fourth Proportional to 567,652,002.60, 851,478,003.90 and 506,429,999.40

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Solution

The fourth proportional to 567,652,002.60, 851,478,003.90 and 506,429,999.40 is: 759,644,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,652,002.60 : 851,478,003.90 = 506,429,999.40 : x
  2. Step 2: Convert to fraction form
    567,652,002.60/851,478,003.90 = 506,429,999.40/x
  3. Step 3: Cross multiply
    567,652,002.60x = 851,478,003.90 × 506,429,999.40
  4. Step 4: Simplify right side
    567,652,002.60x = 431,214,005,004,190,144
  5. Step 5: Solve for x
    x = 431,214,005,004,190,144/567,652,002.60
  6. Step 6: Final answer
    x = 759,644,999.10

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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.