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Finding the Fourth Proportional to 548,979,453,791.75, 823,469,180,687.60 and 548,979,453,791.75

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Solution

The fourth proportional to 548,979,453,791.75, 823,469,180,687.60 and 548,979,453,791.75 is: 823,469,180,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,979,453,791.75 : 823,469,180,687.60 = 548,979,453,791.75 : x
  2. Step 2: Convert to fraction form
    548,979,453,791.75/823,469,180,687.60 = 548,979,453,791.75/x
  3. Step 3: Cross multiply
    548,979,453,791.75x = 823,469,180,687.60 × 548,979,453,791.75
  4. Step 4: Simplify right side
    548,979,453,791.75x = 452,067,661,028,218,502,119,424
  5. Step 5: Solve for x
    x = 452,067,661,028,218,502,119,424/548,979,453,791.75
  6. Step 6: Final answer
    x = 823,469,180,687.60

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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.