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Finding the Fourth Proportional to 463,670,149.60, 694,908,027.60 and 355,428,229.60

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Solution

The fourth proportional to 463,670,149.60, 694,908,027.60 and 355,428,229.60 is: 532,684,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670,149.60 : 694,908,027.60 = 355,428,229.60 : x
  2. Step 2: Convert to fraction form
    463,670,149.60/694,908,027.60 = 355,428,229.60/x
  3. Step 3: Cross multiply
    463,670,149.60x = 694,908,027.60 × 355,428,229.60
  4. Step 4: Simplify right side
    463,670,149.60x = 246,989,929,984,695,968
  5. Step 5: Solve for x
    x = 246,989,929,984,695,968/463,670,149.60
  6. Step 6: Final answer
    x = 532,684,560.78

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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.