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Finding the Fourth Proportional to 91,864,701,137.14, 137,797,051,705.70 and 91,864,701,137.14

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Solution

The fourth proportional to 91,864,701,137.14, 137,797,051,705.70 and 91,864,701,137.14 is: 137,797,051,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864,701,137.14 : 137,797,051,705.70 = 91,864,701,137.14 : x
  2. Step 2: Convert to fraction form
    91,864,701,137.14/137,797,051,705.70 = 91,864,701,137.14/x
  3. Step 3: Cross multiply
    91,864,701,137.14x = 137,797,051,705.70 × 91,864,701,137.14
  4. Step 4: Simplify right side
    91,864,701,137.14x = 12,658,684,972,522,469,851,136
  5. Step 5: Solve for x
    x = 12,658,684,972,522,469,851,136/91,864,701,137.14
  6. Step 6: Final answer
    x = 137,797,051,705.70

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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.