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Finding the Fourth Proportional to 548,979,454,974.35, 823,469,182,461.50 and 548,979,454,974.35

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Solution

The fourth proportional to 548,979,454,974.35, 823,469,182,461.50 and 548,979,454,974.35 is: 823,469,182,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,979,454,974.35 : 823,469,182,461.50 = 548,979,454,974.35 : x
  2. Step 2: Convert to fraction form
    548,979,454,974.35/823,469,182,461.50 = 548,979,454,974.35/x
  3. Step 3: Cross multiply
    548,979,454,974.35x = 823,469,182,461.50 × 548,979,454,974.35
  4. Step 4: Simplify right side
    548,979,454,974.35x = 452,067,662,975,887,856,369,664
  5. Step 5: Solve for x
    x = 452,067,662,975,887,856,369,664/548,979,454,974.35
  6. Step 6: Final answer
    x = 823,469,182,461.50

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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.