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Finding the Fourth Proportional to 726,798,221.16, 1,002,976,443 and 396,773,360.16

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Solution

The fourth proportional to 726,798,221.16, 1,002,976,443 and 396,773,360.16 is: 547,544,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,798,221.16 : 1,002,976,443 = 396,773,360.16 : x
  2. Step 2: Convert to fraction form
    726,798,221.16/1,002,976,443 = 396,773,360.16/x
  3. Step 3: Cross multiply
    726,798,221.16x = 1,002,976,443 × 396,773,360.16
  4. Step 4: Simplify right side
    726,798,221.16x = 397,954,333,450,434,752
  5. Step 5: Solve for x
    x = 397,954,333,450,434,752/726,798,221.16
  6. Step 6: Final answer
    x = 547,544,451.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.