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Finding the Fourth Proportional to 115,893,974,531.10, 173,840,961,796.65 and 115,893,974,531.10

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Solution

The fourth proportional to 115,893,974,531.10, 173,840,961,796.65 and 115,893,974,531.10 is: 173,840,961,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893,974,531.10 : 173,840,961,796.65 = 115,893,974,531.10 : x
  2. Step 2: Convert to fraction form
    115,893,974,531.10/173,840,961,796.65 = 115,893,974,531.10/x
  3. Step 3: Cross multiply
    115,893,974,531.10x = 173,840,961,796.65 × 115,893,974,531.10
  4. Step 4: Simplify right side
    115,893,974,531.10x = 20,147,119,998,922,882,285,568
  5. Step 5: Solve for x
    x = 20,147,119,998,922,882,285,568/115,893,974,531.10
  6. Step 6: Final answer
    x = 173,840,961,796.65

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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.