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Finding the Fourth Proportional to 12,254,482,026,122, 18,381,723,039,183 and 12,254,482,026,122

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Solution

The fourth proportional to 12,254,482,026,122, 18,381,723,039,183 and 12,254,482,026,122 is: 18,381,723,039,183

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254,482,026,122 : 18,381,723,039,183 = 12,254,482,026,122 : x
  2. Step 2: Convert to fraction form
    12,254,482,026,122/18,381,723,039,183 = 12,254,482,026,122/x
  3. Step 3: Cross multiply
    12,254,482,026,122x = 18,381,723,039,183 × 12,254,482,026,122
  4. Step 4: Simplify right side
    12,254,482,026,122x = 225,258,494,592,820,721,336,975,360
  5. Step 5: Solve for x
    x = 225,258,494,592,820,721,336,975,360/12,254,482,026,122
  6. Step 6: Final answer
    x = 18,381,723,039,183

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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.