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Finding the Fourth Proportional to 298,655,006.40, 447,982,509.60 and 238,188,830.40

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Solution

The fourth proportional to 298,655,006.40, 447,982,509.60 and 238,188,830.40 is: 357,283,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,655,006.40 : 447,982,509.60 = 238,188,830.40 : x
  2. Step 2: Convert to fraction form
    298,655,006.40/447,982,509.60 = 238,188,830.40/x
  3. Step 3: Cross multiply
    298,655,006.40x = 447,982,509.60 × 238,188,830.40
  4. Step 4: Simplify right side
    298,655,006.40x = 106,704,430,001,280,784
  5. Step 5: Solve for x
    x = 106,704,430,001,280,784/298,655,006.40
  6. Step 6: Final answer
    x = 357,283,245.60

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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.