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Finding the Fourth Proportional to 206,702,434.80, 310,053,652.20 and 133,523,009.10

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Solution

The fourth proportional to 206,702,434.80, 310,053,652.20 and 133,523,009.10 is: 200,284,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,702,434.80 : 310,053,652.20 = 133,523,009.10 : x
  2. Step 2: Convert to fraction form
    206,702,434.80/310,053,652.20 = 133,523,009.10/x
  3. Step 3: Cross multiply
    206,702,434.80x = 310,053,652.20 × 133,523,009.10
  4. Step 4: Simplify right side
    206,702,434.80x = 41,399,296,624,188,832
  5. Step 5: Solve for x
    x = 41,399,296,624,188,832/206,702,434.80
  6. Step 6: Final answer
    x = 200,284,513.65

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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.