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Finding the Fourth Proportional to 548,979,453,759.40, 823,469,180,639.10 and 548,979,453,759.40

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Solution

The fourth proportional to 548,979,453,759.40, 823,469,180,639.10 and 548,979,453,759.40 is: 823,469,180,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,979,453,759.40 : 823,469,180,639.10 = 548,979,453,759.40 : x
  2. Step 2: Convert to fraction form
    548,979,453,759.40/823,469,180,639.10 = 548,979,453,759.40/x
  3. Step 3: Cross multiply
    548,979,453,759.40x = 823,469,180,639.10 × 548,979,453,759.40
  4. Step 4: Simplify right side
    548,979,453,759.40x = 452,067,660,974,953,794,109,440
  5. Step 5: Solve for x
    x = 452,067,660,974,953,794,109,440/548,979,453,759.40
  6. Step 6: Final answer
    x = 823,469,180,639.10

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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.