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Finding the Fourth Proportional to 125,988,422,723.10, 188,982,634,084.65 and 125,988,422,723.10

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Solution

The fourth proportional to 125,988,422,723.10, 188,982,634,084.65 and 125,988,422,723.10 is: 188,982,634,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,988,422,723.10 : 188,982,634,084.65 = 125,988,422,723.10 : x
  2. Step 2: Convert to fraction form
    125,988,422,723.10/188,982,634,084.65 = 125,988,422,723.10/x
  3. Step 3: Cross multiply
    125,988,422,723.10x = 188,982,634,084.65 × 125,988,422,723.10
  4. Step 4: Simplify right side
    125,988,422,723.10x = 23,809,623,990,381,811,073,024
  5. Step 5: Solve for x
    x = 23,809,623,990,381,811,073,024/125,988,422,723.10
  6. Step 6: Final answer
    x = 188,982,634,084.65

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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.