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Finding the Fourth Proportional to 345,299,076.20, 517,948,614.30 and 345,299,076.20

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Solution

The fourth proportional to 345,299,076.20, 517,948,614.30 and 345,299,076.20 is: 517,948,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,299,076.20 : 517,948,614.30 = 345,299,076.20 : x
  2. Step 2: Convert to fraction form
    345,299,076.20/517,948,614.30 = 345,299,076.20/x
  3. Step 3: Cross multiply
    345,299,076.20x = 517,948,614.30 × 345,299,076.20
  4. Step 4: Simplify right side
    345,299,076.20x = 178,847,178,036,860,096
  5. Step 5: Solve for x
    x = 178,847,178,036,860,096/345,299,076.20
  6. Step 6: Final answer
    x = 517,948,614.30

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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.