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Finding the Fourth Proportional to 502,646,998.80, 752,571,036.90 and 256,471,717.80

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Solution

The fourth proportional to 502,646,998.80, 752,571,036.90 and 256,471,717.80 is: 383,993,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,646,998.80 : 752,571,036.90 = 256,471,717.80 : x
  2. Step 2: Convert to fraction form
    502,646,998.80/752,571,036.90 = 256,471,717.80/x
  3. Step 3: Cross multiply
    502,646,998.80x = 752,571,036.90 × 256,471,717.80
  4. Step 4: Simplify right side
    502,646,998.80x = 193,013,186,600,270,176
  5. Step 5: Solve for x
    x = 193,013,186,600,270,176/502,646,998.80
  6. Step 6: Final answer
    x = 383,993,512.47

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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.