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Finding the Fourth Proportional to 458,548,276.65, 687,822,414.98 and 458,548,276.65

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Solution

The fourth proportional to 458,548,276.65, 687,822,414.98 and 458,548,276.65 is: 687,822,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,548,276.65 : 687,822,414.98 = 458,548,276.65 : x
  2. Step 2: Convert to fraction form
    458,548,276.65/687,822,414.98 = 458,548,276.65/x
  3. Step 3: Cross multiply
    458,548,276.65x = 687,822,414.98 × 458,548,276.65
  4. Step 4: Simplify right side
    458,548,276.65x = 315,399,783,028,027,392
  5. Step 5: Solve for x
    x = 315,399,783,028,027,392/458,548,276.65
  6. Step 6: Final answer
    x = 687,822,414.98

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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.