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Finding the Fourth Proportional to 442,708,243.20, 664,062,364.80 and 409,451,846.40

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Solution

The fourth proportional to 442,708,243.20, 664,062,364.80 and 409,451,846.40 is: 614,177,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,708,243.20 : 664,062,364.80 = 409,451,846.40 : x
  2. Step 2: Convert to fraction form
    442,708,243.20/664,062,364.80 = 409,451,846.40/x
  3. Step 3: Cross multiply
    442,708,243.20x = 664,062,364.80 × 409,451,846.40
  4. Step 4: Simplify right side
    442,708,243.20x = 271,901,561,392,110,336
  5. Step 5: Solve for x
    x = 271,901,561,392,110,336/442,708,243.20
  6. Step 6: Final answer
    x = 614,177,769.60

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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.