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Finding the Fourth Proportional to 402,409,872.80, 603,614,809.20 and 285,508,599.20

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Solution

The fourth proportional to 402,409,872.80, 603,614,809.20 and 285,508,599.20 is: 428,262,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,872.80 : 603,614,809.20 = 285,508,599.20 : x
  2. Step 2: Convert to fraction form
    402,409,872.80/603,614,809.20 = 285,508,599.20/x
  3. Step 3: Cross multiply
    402,409,872.80x = 603,614,809.20 × 285,508,599.20
  4. Step 4: Simplify right side
    402,409,872.80x = 172,337,218,631,067,264
  5. Step 5: Solve for x
    x = 172,337,218,631,067,264/402,409,872.80
  6. Step 6: Final answer
    x = 428,262,898.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.