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Finding the Fourth Proportional to 548,604,577,967.20, 822,906,866,950.80 and 548,604,577,967.20

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Solution

The fourth proportional to 548,604,577,967.20, 822,906,866,950.80 and 548,604,577,967.20 is: 822,906,866,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,577,967.20 : 822,906,866,950.80 = 548,604,577,967.20 : x
  2. Step 2: Convert to fraction form
    548,604,577,967.20/822,906,866,950.80 = 548,604,577,967.20/x
  3. Step 3: Cross multiply
    548,604,577,967.20x = 822,906,866,950.80 × 548,604,577,967.20
  4. Step 4: Simplify right side
    548,604,577,967.20x = 451,450,474,449,854,451,941,376
  5. Step 5: Solve for x
    x = 451,450,474,449,854,451,941,376/548,604,577,967.20
  6. Step 6: Final answer
    x = 822,906,866,950.80

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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.