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Finding the Fourth Proportional to 1,092,981,163.78, 1,639,470,460.74 and 356,049,862.48

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Solution

The fourth proportional to 1,092,981,163.78, 1,639,470,460.74 and 356,049,862.48 is: 534,074,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,981,163.78 : 1,639,470,460.74 = 356,049,862.48 : x
  2. Step 2: Convert to fraction form
    1,092,981,163.78/1,639,470,460.74 = 356,049,862.48/x
  3. Step 3: Cross multiply
    1,092,981,163.78x = 1,639,470,460.74 × 356,049,862.48
  4. Step 4: Simplify right side
    1,092,981,163.78x = 583,733,232,086,499,328
  5. Step 5: Solve for x
    x = 583,733,232,086,499,328/1,092,981,163.78
  6. Step 6: Final answer
    x = 534,074,375.14

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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.