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Finding the Fourth Proportional to 298,102,791.92, 447,557,416.00 and 205,756,935.62

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Solution

The fourth proportional to 298,102,791.92, 447,557,416.00 and 205,756,935.62 is: 308,913,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,102,791.92 : 447,557,416.00 = 205,756,935.62 : x
  2. Step 2: Convert to fraction form
    298,102,791.92/447,557,416.00 = 205,756,935.62/x
  3. Step 3: Cross multiply
    298,102,791.92x = 447,557,416.00 × 205,756,935.62
  4. Step 4: Simplify right side
    298,102,791.92x = 92,088,042,427,413,376
  5. Step 5: Solve for x
    x = 92,088,042,427,413,376/298,102,791.92
  6. Step 6: Final answer
    x = 308,913,720.12

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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.