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Finding the Fourth Proportional to 91,864,701,233.08, 137,797,051,849.61 and 91,864,701,233.08

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Solution

The fourth proportional to 91,864,701,233.08, 137,797,051,849.61 and 91,864,701,233.08 is: 137,797,051,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864,701,233.08 : 137,797,051,849.61 = 91,864,701,233.08 : x
  2. Step 2: Convert to fraction form
    91,864,701,233.08/137,797,051,849.61 = 91,864,701,233.08/x
  3. Step 3: Cross multiply
    91,864,701,233.08x = 137,797,051,849.61 × 91,864,701,233.08
  4. Step 4: Simplify right side
    91,864,701,233.08x = 12,658,684,998,962,965,905,408
  5. Step 5: Solve for x
    x = 12,658,684,998,962,965,905,408/91,864,701,233.08
  6. Step 6: Final answer
    x = 137,797,051,849.61

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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.