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Finding the Fourth Proportional to 548,604,578,076.20, 822,906,867,114.30 and 548,604,578,076.20

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Solution

The fourth proportional to 548,604,578,076.20, 822,906,867,114.30 and 548,604,578,076.20 is: 822,906,867,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,578,076.20 : 822,906,867,114.30 = 548,604,578,076.20 : x
  2. Step 2: Convert to fraction form
    548,604,578,076.20/822,906,867,114.30 = 548,604,578,076.20/x
  3. Step 3: Cross multiply
    548,604,578,076.20x = 822,906,867,114.30 × 548,604,578,076.20
  4. Step 4: Simplify right side
    548,604,578,076.20x = 451,450,474,629,248,189,464,576
  5. Step 5: Solve for x
    x = 451,450,474,629,248,189,464,576/548,604,578,076.20
  6. Step 6: Final answer
    x = 822,906,867,114.30

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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.