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Finding the Fourth Proportional to 179,625,643.20, 269,438,464.80 and 179,625,643.20

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Solution

The fourth proportional to 179,625,643.20, 269,438,464.80 and 179,625,643.20 is: 269,438,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,625,643.20 : 269,438,464.80 = 179,625,643.20 : x
  2. Step 2: Convert to fraction form
    179,625,643.20/269,438,464.80 = 179,625,643.20/x
  3. Step 3: Cross multiply
    179,625,643.20x = 269,438,464.80 × 179,625,643.20
  4. Step 4: Simplify right side
    179,625,643.20x = 48,398,057,542,520,560
  5. Step 5: Solve for x
    x = 48,398,057,542,520,560/179,625,643.20
  6. Step 6: Final answer
    x = 269,438,464.80

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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.