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Finding the Fourth Proportional to 18,058,099,825,061, 27,087,149,737,592 and 18,058,099,825,061

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Solution

The fourth proportional to 18,058,099,825,061, 27,087,149,737,592 and 18,058,099,825,061 is: 27,087,149,737,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,058,099,825,061 : 27,087,149,737,592 = 18,058,099,825,061 : x
  2. Step 2: Convert to fraction form
    18,058,099,825,061/27,087,149,737,592 = 18,058,099,825,061/x
  3. Step 3: Cross multiply
    18,058,099,825,061x = 27,087,149,737,592 × 18,058,099,825,061
  4. Step 4: Simplify right side
    18,058,099,825,061x = 489,142,453,937,811,189,059,813,376
  5. Step 5: Solve for x
    x = 489,142,453,937,811,189,059,813,376/18,058,099,825,061
  6. Step 6: Final answer
    x = 27,087,149,737,592

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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.