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Finding the Fourth Proportional to 548,604,578,052.46, 822,906,867,078.70 and 548,604,578,052.46

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Solution

The fourth proportional to 548,604,578,052.46, 822,906,867,078.70 and 548,604,578,052.46 is: 822,906,867,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,604,578,052.46 : 822,906,867,078.70 = 548,604,578,052.46 : x
  2. Step 2: Convert to fraction form
    548,604,578,052.46/822,906,867,078.70 = 548,604,578,052.46/x
  3. Step 3: Cross multiply
    548,604,578,052.46x = 822,906,867,078.70 × 548,604,578,052.46
  4. Step 4: Simplify right side
    548,604,578,052.46x = 451,450,474,590,181,972,246,528
  5. Step 5: Solve for x
    x = 451,450,474,590,181,972,246,528/548,604,578,052.46
  6. Step 6: Final answer
    x = 822,906,867,078.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.