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Finding the Fourth Proportional to 580,652,132.40, 870,978,198.60 and 387,160,369.20

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Solution

The fourth proportional to 580,652,132.40, 870,978,198.60 and 387,160,369.20 is: 580,740,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,652,132.40 : 870,978,198.60 = 387,160,369.20 : x
  2. Step 2: Convert to fraction form
    580,652,132.40/870,978,198.60 = 387,160,369.20/x
  3. Step 3: Cross multiply
    580,652,132.40x = 870,978,198.60 × 387,160,369.20
  4. Step 4: Simplify right side
    580,652,132.40x = 337,208,240,935,126,912
  5. Step 5: Solve for x
    x = 337,208,240,935,126,912/580,652,132.40
  6. Step 6: Final answer
    x = 580,740,553.80

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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.