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Finding the Fourth Proportional to 91,570,251,546.15, 137,355,377,319.22 and 91,570,251,546.15

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Solution

The fourth proportional to 91,570,251,546.15, 137,355,377,319.22 and 91,570,251,546.15 is: 137,355,377,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,570,251,546.15 : 137,355,377,319.22 = 91,570,251,546.15 : x
  2. Step 2: Convert to fraction form
    91,570,251,546.15/137,355,377,319.22 = 91,570,251,546.15/x
  3. Step 3: Cross multiply
    91,570,251,546.15x = 137,355,377,319.22 × 91,570,251,546.15
  4. Step 4: Simplify right side
    91,570,251,546.15x = 12,577,666,452,337,320,787,968
  5. Step 5: Solve for x
    x = 12,577,666,452,337,320,787,968/91,570,251,546.15
  6. Step 6: Final answer
    x = 137,355,377,319.22

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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.