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Finding the Fourth Proportional to 398,250,803.20, 596,704,358.40 and 193,337,651.20

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Solution

The fourth proportional to 398,250,803.20, 596,704,358.40 and 193,337,651.20 is: 289,680,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,250,803.20 : 596,704,358.40 = 193,337,651.20 : x
  2. Step 2: Convert to fraction form
    398,250,803.20/596,704,358.40 = 193,337,651.20/x
  3. Step 3: Cross multiply
    398,250,803.20x = 596,704,358.40 × 193,337,651.20
  4. Step 4: Simplify right side
    398,250,803.20x = 115,365,419,113,858,976
  5. Step 5: Solve for x
    x = 115,365,419,113,858,976/398,250,803.20
  6. Step 6: Final answer
    x = 289,680,317.50

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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.