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Finding the Fourth Proportional to 517,893,800.57, 714,693,731.49 and 279,738,983.78

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Solution

The fourth proportional to 517,893,800.57, 714,693,731.49 and 279,738,983.78 is: 386,039,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,893,800.57 : 714,693,731.49 = 279,738,983.78 : x
  2. Step 2: Convert to fraction form
    517,893,800.57/714,693,731.49 = 279,738,983.78/x
  3. Step 3: Cross multiply
    517,893,800.57x = 714,693,731.49 × 279,738,983.78
  4. Step 4: Simplify right side
    517,893,800.57x = 199,927,698,161,283,008
  5. Step 5: Solve for x
    x = 199,927,698,161,283,008/517,893,800.57
  6. Step 6: Final answer
    x = 386,039,952.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.