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Finding the Fourth Proportional to 825,659,514.36, 1,139,409,801 and 454,381,545.60

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Solution

The fourth proportional to 825,659,514.36, 1,139,409,801 and 454,381,545.60 is: 627,046,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,659,514.36 : 1,139,409,801 = 454,381,545.60 : x
  2. Step 2: Convert to fraction form
    825,659,514.36/1,139,409,801 = 454,381,545.60/x
  3. Step 3: Cross multiply
    825,659,514.36x = 1,139,409,801 × 454,381,545.60
  4. Step 4: Simplify right side
    825,659,514.36x = 517,726,786,450,168,448
  5. Step 5: Solve for x
    x = 517,726,786,450,168,448/825,659,514.36
  6. Step 6: Final answer
    x = 627,046,351.97

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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.