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Finding the Fourth Proportional to 981,182,642.90, 1,471,019,603.65 and 507,974,406.71

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Solution

The fourth proportional to 981,182,642.90, 1,471,019,603.65 and 507,974,406.71 is: 761,571,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,182,642.90 : 1,471,019,603.65 = 507,974,406.71 : x
  2. Step 2: Convert to fraction form
    981,182,642.90/1,471,019,603.65 = 507,974,406.71/x
  3. Step 3: Cross multiply
    981,182,642.90x = 1,471,019,603.65 × 507,974,406.71
  4. Step 4: Simplify right side
    981,182,642.90x = 747,240,310,422,888,064
  5. Step 5: Solve for x
    x = 747,240,310,422,888,064/981,182,642.90
  6. Step 6: Final answer
    x = 761,571,065.11

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