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Finding the Fourth Proportional to 408,657,957.08, 564,269,306.56 and 329,020,045.88

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Solution

The fourth proportional to 408,657,957.08, 564,269,306.56 and 329,020,045.88 is: 454,306,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657,957.08 : 564,269,306.56 = 329,020,045.88 : x
  2. Step 2: Convert to fraction form
    408,657,957.08/564,269,306.56 = 329,020,045.88/x
  3. Step 3: Cross multiply
    408,657,957.08x = 564,269,306.56 × 329,020,045.88
  4. Step 4: Simplify right side
    408,657,957.08x = 185,655,913,129,403,104
  5. Step 5: Solve for x
    x = 185,655,913,129,403,104/408,657,957.08
  6. Step 6: Final answer
    x = 454,306,370.19

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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.