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Finding the Fourth Proportional to 734,469,797.10, 1,101,704,695.65 and 568,022,475.90

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Solution

The fourth proportional to 734,469,797.10, 1,101,704,695.65 and 568,022,475.90 is: 852,033,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,469,797.10 : 1,101,704,695.65 = 568,022,475.90 : x
  2. Step 2: Convert to fraction form
    734,469,797.10/1,101,704,695.65 = 568,022,475.90/x
  3. Step 3: Cross multiply
    734,469,797.10x = 1,101,704,695.65 × 568,022,475.90
  4. Step 4: Simplify right side
    734,469,797.10x = 625,793,028,933,768,960
  5. Step 5: Solve for x
    x = 625,793,028,933,768,960/734,469,797.10
  6. Step 6: Final answer
    x = 852,033,713.85

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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.