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Finding the Fourth Proportional to 488,227,737.80, 733,536,000.30 and 367,295,385.80

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Solution

The fourth proportional to 488,227,737.80, 733,536,000.30 and 367,295,385.80 is: 551,841,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,227,737.80 : 733,536,000.30 = 367,295,385.80 : x
  2. Step 2: Convert to fraction form
    488,227,737.80/733,536,000.30 = 367,295,385.80/x
  3. Step 3: Cross multiply
    488,227,737.80x = 733,536,000.30 × 367,295,385.80
  4. Step 4: Simplify right side
    488,227,737.80x = 269,424,388,228,377,408
  5. Step 5: Solve for x
    x = 269,424,388,228,377,408/488,227,737.80
  6. Step 6: Final answer
    x = 551,841,625.06

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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.