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Finding the Fourth Proportional to 548,604,577,896.45, 822,906,866,844.69 and 548,604,577,896.45

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Solution

The fourth proportional to 548,604,577,896.45, 822,906,866,844.69 and 548,604,577,896.45 is: 822,906,866,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,577,896.45 : 822,906,866,844.69 = 548,604,577,896.45 : x
  2. Step 2: Convert to fraction form
    548,604,577,896.45/822,906,866,844.69 = 548,604,577,896.45/x
  3. Step 3: Cross multiply
    548,604,577,896.45x = 822,906,866,844.69 × 548,604,577,896.45
  4. Step 4: Simplify right side
    548,604,577,896.45x = 451,450,474,333,421,311,098,880
  5. Step 5: Solve for x
    x = 451,450,474,333,421,311,098,880/548,604,577,896.45
  6. Step 6: Final answer
    x = 822,906,866,844.69

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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.