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Finding the Fourth Proportional to 394,000,816.71, 591,002,347.02 and 113,904,533.06

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Solution

The fourth proportional to 394,000,816.71, 591,002,347.02 and 113,904,533.06 is: 170,857,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,000,816.71 : 591,002,347.02 = 113,904,533.06 : x
  2. Step 2: Convert to fraction form
    394,000,816.71/591,002,347.02 = 113,904,533.06/x
  3. Step 3: Cross multiply
    394,000,816.71x = 591,002,347.02 × 113,904,533.06
  4. Step 4: Simplify right side
    394,000,816.71x = 67,317,846,372,914,920
  5. Step 5: Solve for x
    x = 67,317,846,372,914,920/394,000,816.71
  6. Step 6: Final answer
    x = 170,857,123.94

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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.