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Finding the Fourth Proportional to 367,746,919,489.80, 551,620,379,234.70 and 367,746,919,489.80

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Solution

The fourth proportional to 367,746,919,489.80, 551,620,379,234.70 and 367,746,919,489.80 is: 551,620,379,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,746,919,489.80 : 551,620,379,234.70 = 367,746,919,489.80 : x
  2. Step 2: Convert to fraction form
    367,746,919,489.80/551,620,379,234.70 = 367,746,919,489.80/x
  3. Step 3: Cross multiply
    367,746,919,489.80x = 551,620,379,234.70 × 367,746,919,489.80
  4. Step 4: Simplify right side
    367,746,919,489.80x = 202,856,695,191,356,135,440,384
  5. Step 5: Solve for x
    x = 202,856,695,191,356,135,440,384/367,746,919,489.80
  6. Step 6: Final answer
    x = 551,620,379,234.70

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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.