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Finding the Fourth Proportional to 54,797,476,724.80, 82,196,215,087.20 and 54,797,476,724.80

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Solution

The fourth proportional to 54,797,476,724.80, 82,196,215,087.20 and 54,797,476,724.80 is: 82,196,215,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,797,476,724.80 : 82,196,215,087.20 = 54,797,476,724.80 : x
  2. Step 2: Convert to fraction form
    54,797,476,724.80/82,196,215,087.20 = 54,797,476,724.80/x
  3. Step 3: Cross multiply
    54,797,476,724.80x = 82,196,215,087.20 × 54,797,476,724.80
  4. Step 4: Simplify right side
    54,797,476,724.80x = 4,504,145,183,107,496,542,208
  5. Step 5: Solve for x
    x = 4,504,145,183,107,496,542,208/54,797,476,724.80
  6. Step 6: Final answer
    x = 82,196,215,087.20

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1.5x scale

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.