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Finding the Fourth Proportional to 224,688,001.80, 337,032,002.70 and 159,854,824.20

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Solution

The fourth proportional to 224,688,001.80, 337,032,002.70 and 159,854,824.20 is: 239,782,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,688,001.80 : 337,032,002.70 = 159,854,824.20 : x
  2. Step 2: Convert to fraction form
    224,688,001.80/337,032,002.70 = 159,854,824.20/x
  3. Step 3: Cross multiply
    224,688,001.80x = 337,032,002.70 × 159,854,824.20
  4. Step 4: Simplify right side
    224,688,001.80x = 53,876,191,541,382,416
  5. Step 5: Solve for x
    x = 53,876,191,541,382,416/224,688,001.80
  6. Step 6: Final answer
    x = 239,782,236.30

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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.