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Finding the Fourth Proportional to 322,969,231,879.45, 484,453,847,819.18 and 322,969,231,879.45

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Solution

The fourth proportional to 322,969,231,879.45, 484,453,847,819.18 and 322,969,231,879.45 is: 484,453,847,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,969,231,879.45 : 484,453,847,819.18 = 322,969,231,879.45 : x
  2. Step 2: Convert to fraction form
    322,969,231,879.45/484,453,847,819.18 = 322,969,231,879.45/x
  3. Step 3: Cross multiply
    322,969,231,879.45x = 484,453,847,819.18 × 322,969,231,879.45
  4. Step 4: Simplify right side
    322,969,231,879.45x = 156,463,687,111,204,520,591,360
  5. Step 5: Solve for x
    x = 156,463,687,111,204,520,591,360/322,969,231,879.45
  6. Step 6: Final answer
    x = 484,453,847,819.18

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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.