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Finding the Fourth Proportional to 412,920,876,654.77, 619,381,314,982.14 and 412,920,876,654.77

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Solution

The fourth proportional to 412,920,876,654.77, 619,381,314,982.14 and 412,920,876,654.77 is: 619,381,314,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,876,654.77 : 619,381,314,982.14 = 412,920,876,654.77 : x
  2. Step 2: Convert to fraction form
    412,920,876,654.77/619,381,314,982.14 = 412,920,876,654.77/x
  3. Step 3: Cross multiply
    412,920,876,654.77x = 619,381,314,982.14 × 412,920,876,654.77
  4. Step 4: Simplify right side
    412,920,876,654.77x = 255,755,475,566,009,486,671,872
  5. Step 5: Solve for x
    x = 255,755,475,566,009,486,671,872/412,920,876,654.77
  6. Step 6: Final answer
    x = 619,381,314,982.14

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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.