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Finding the Fourth Proportional to 322,969,231,878.45, 484,453,847,817.68 and 322,969,231,878.45

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Solution

The fourth proportional to 322,969,231,878.45, 484,453,847,817.68 and 322,969,231,878.45 is: 484,453,847,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,969,231,878.45 : 484,453,847,817.68 = 322,969,231,878.45 : x
  2. Step 2: Convert to fraction form
    322,969,231,878.45/484,453,847,817.68 = 322,969,231,878.45/x
  3. Step 3: Cross multiply
    322,969,231,878.45x = 484,453,847,817.68 × 322,969,231,878.45
  4. Step 4: Simplify right side
    322,969,231,878.45x = 156,463,687,110,235,636,367,360
  5. Step 5: Solve for x
    x = 156,463,687,110,235,636,367,360/322,969,231,878.45
  6. Step 6: Final answer
    x = 484,453,847,817.68

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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.