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Finding the Fourth Proportional to 12,254,482,026,100, 18,381,723,039,149 and 12,254,482,026,100

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Solution

The fourth proportional to 12,254,482,026,100, 18,381,723,039,149 and 12,254,482,026,100 is: 18,381,723,039,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254,482,026,100 : 18,381,723,039,149 = 12,254,482,026,100 : x
  2. Step 2: Convert to fraction form
    12,254,482,026,100/18,381,723,039,149 = 12,254,482,026,100/x
  3. Step 3: Cross multiply
    12,254,482,026,100x = 18,381,723,039,149 × 12,254,482,026,100
  4. Step 4: Simplify right side
    12,254,482,026,100x = 225,258,494,591,999,695,388,672,000
  5. Step 5: Solve for x
    x = 225,258,494,591,999,695,388,672,000/12,254,482,026,100
  6. Step 6: Final answer
    x = 18,381,723,039,149

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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.