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Finding the Fourth Proportional to 548,604,578,009.44, 822,906,867,014.20 and 548,604,578,009.44

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Solution

The fourth proportional to 548,604,578,009.44, 822,906,867,014.20 and 548,604,578,009.44 is: 822,906,867,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,578,009.44 : 822,906,867,014.20 = 548,604,578,009.44 : x
  2. Step 2: Convert to fraction form
    548,604,578,009.44/822,906,867,014.20 = 548,604,578,009.44/x
  3. Step 3: Cross multiply
    548,604,578,009.44x = 822,906,867,014.20 × 548,604,578,009.44
  4. Step 4: Simplify right side
    548,604,578,009.44x = 451,450,474,519,395,542,499,328
  5. Step 5: Solve for x
    x = 451,450,474,519,395,542,499,328/548,604,578,009.44
  6. Step 6: Final answer
    x = 822,906,867,014.20

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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.