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Finding the Fourth Proportional to 6,489,399.30, 9,734,098.95 and 6,489,399.30

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Solution

The fourth proportional to 6,489,399.30, 9,734,098.95 and 6,489,399.30 is: 9,734,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,399.30 : 9,734,098.95 = 6,489,399.30 : x
  2. Step 2: Convert to fraction form
    6,489,399.30/9,734,098.95 = 6,489,399.30/x
  3. Step 3: Cross multiply
    6,489,399.30x = 9,734,098.95 × 6,489,399.30
  4. Step 4: Simplify right side
    6,489,399.30x = 63,168,454,912,260.73
  5. Step 5: Solve for x
    x = 63,168,454,912,260.73/6,489,399.30
  6. Step 6: Final answer
    x = 9,734,098.95

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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.