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Finding the Fourth Proportional to 548,604,577,892.06, 822,906,866,838.14 and 548,604,577,892.06

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Solution

The fourth proportional to 548,604,577,892.06, 822,906,866,838.14 and 548,604,577,892.06 is: 822,906,866,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,577,892.06 : 822,906,866,838.14 = 548,604,577,892.06 : x
  2. Step 2: Convert to fraction form
    548,604,577,892.06/822,906,866,838.14 = 548,604,577,892.06/x
  3. Step 3: Cross multiply
    548,604,577,892.06x = 822,906,866,838.14 × 548,604,577,892.06
  4. Step 4: Simplify right side
    548,604,577,892.06x = 451,450,474,326,215,429,718,016
  5. Step 5: Solve for x
    x = 451,450,474,326,215,429,718,016/548,604,577,892.06
  6. Step 6: Final answer
    x = 822,906,866,838.14

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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.