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Finding the Fourth Proportional to 472,394,329.80, 708,591,494.70 and 288,728,320.20

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Solution

The fourth proportional to 472,394,329.80, 708,591,494.70 and 288,728,320.20 is: 433,092,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,329.80 : 708,591,494.70 = 288,728,320.20 : x
  2. Step 2: Convert to fraction form
    472,394,329.80/708,591,494.70 = 288,728,320.20/x
  3. Step 3: Cross multiply
    472,394,329.80x = 708,591,494.70 × 288,728,320.20
  4. Step 4: Simplify right side
    472,394,329.80x = 204,590,431,972,738,208
  5. Step 5: Solve for x
    x = 204,590,431,972,738,208/472,394,329.80
  6. Step 6: Final answer
    x = 433,092,480.30

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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.