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Finding the Fourth Proportional to 548,604,577,963.46, 822,906,866,945.18 and 548,604,577,963.46

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Solution

The fourth proportional to 548,604,577,963.46, 822,906,866,945.18 and 548,604,577,963.46 is: 822,906,866,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,577,963.46 : 822,906,866,945.18 = 548,604,577,963.46 : x
  2. Step 2: Convert to fraction form
    548,604,577,963.46/822,906,866,945.18 = 548,604,577,963.46/x
  3. Step 3: Cross multiply
    548,604,577,963.46x = 822,906,866,945.18 × 548,604,577,963.46
  4. Step 4: Simplify right side
    548,604,577,963.46x = 451,450,474,443,693,656,899,584
  5. Step 5: Solve for x
    x = 451,450,474,443,693,656,899,584/548,604,577,963.46
  6. Step 6: Final answer
    x = 822,906,866,945.18

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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.