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Finding the Fourth Proportional to 472,566,512.80, 708,849,769.20 and 408,865,520.80

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Solution

The fourth proportional to 472,566,512.80, 708,849,769.20 and 408,865,520.80 is: 613,298,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566,512.80 : 708,849,769.20 = 408,865,520.80 : x
  2. Step 2: Convert to fraction form
    472,566,512.80/708,849,769.20 = 408,865,520.80/x
  3. Step 3: Cross multiply
    472,566,512.80x = 708,849,769.20 × 408,865,520.80
  4. Step 4: Simplify right side
    472,566,512.80x = 289,824,230,052,917,824
  5. Step 5: Solve for x
    x = 289,824,230,052,917,824/472,566,512.80
  6. Step 6: Final answer
    x = 613,298,281.20

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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.