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Finding the Fourth Proportional to 331,609,096.20, 497,408,978.70 and 149,855,982.60

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Solution

The fourth proportional to 331,609,096.20, 497,408,978.70 and 149,855,982.60 is: 224,781,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,609,096.20 : 497,408,978.70 = 149,855,982.60 : x
  2. Step 2: Convert to fraction form
    331,609,096.20/497,408,978.70 = 149,855,982.60/x
  3. Step 3: Cross multiply
    331,609,096.20x = 497,408,978.70 × 149,855,982.60
  4. Step 4: Simplify right side
    331,609,096.20x = 74,539,711,257,150,960
  5. Step 5: Solve for x
    x = 74,539,711,257,150,960/331,609,096.20
  6. Step 6: Final answer
    x = 224,781,865.49

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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.