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Finding the Fourth Proportional to 412,920,869,922.06, 619,381,304,883.09 and 412,920,869,922.06

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Solution

The fourth proportional to 412,920,869,922.06, 619,381,304,883.09 and 412,920,869,922.06 is: 619,381,304,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,869,922.06 : 619,381,304,883.09 = 412,920,869,922.06 : x
  2. Step 2: Convert to fraction form
    412,920,869,922.06/619,381,304,883.09 = 412,920,869,922.06/x
  3. Step 3: Cross multiply
    412,920,869,922.06x = 619,381,304,883.09 × 412,920,869,922.06
  4. Step 4: Simplify right side
    412,920,869,922.06x = 255,755,467,225,786,172,309,504
  5. Step 5: Solve for x
    x = 255,755,467,225,786,172,309,504/412,920,869,922.06
  6. Step 6: Final answer
    x = 619,381,304,883.09

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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.