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Finding the Fourth Proportional to 339,976,997.70, 509,965,496.55 and 271,952,549.70

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Solution

The fourth proportional to 339,976,997.70, 509,965,496.55 and 271,952,549.70 is: 407,928,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,976,997.70 : 509,965,496.55 = 271,952,549.70 : x
  2. Step 2: Convert to fraction form
    339,976,997.70/509,965,496.55 = 271,952,549.70/x
  3. Step 3: Cross multiply
    339,976,997.70x = 509,965,496.55 × 271,952,549.70
  4. Step 4: Simplify right side
    339,976,997.70x = 138,686,417,045,799,056
  5. Step 5: Solve for x
    x = 138,686,417,045,799,056/339,976,997.70
  6. Step 6: Final answer
    x = 407,928,824.55

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Why These Related Problems?

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