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Finding the Fourth Proportional to 412,920,969,968.57, 619,381,454,952.82 and 412,920,969,968.57

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Solution

The fourth proportional to 412,920,969,968.57, 619,381,454,952.82 and 412,920,969,968.57 is: 619,381,454,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,969,968.57 : 619,381,454,952.82 = 412,920,969,968.57 : x
  2. Step 2: Convert to fraction form
    412,920,969,968.57/619,381,454,952.82 = 412,920,969,968.57/x
  3. Step 3: Cross multiply
    412,920,969,968.57x = 619,381,454,952.82 × 412,920,969,968.57
  4. Step 4: Simplify right side
    412,920,969,968.57x = 255,755,591,159,662,564,605,952
  5. Step 5: Solve for x
    x = 255,755,591,159,662,564,605,952/412,920,969,968.57
  6. Step 6: Final answer
    x = 619,381,454,952.82

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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.