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Finding the Fourth Proportional to 412,920,876,690.27, 619,381,315,035.39 and 412,920,876,690.27

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Solution

The fourth proportional to 412,920,876,690.27, 619,381,315,035.39 and 412,920,876,690.27 is: 619,381,315,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920,876,690.27 : 619,381,315,035.39 = 412,920,876,690.27 : x
  2. Step 2: Convert to fraction form
    412,920,876,690.27/619,381,315,035.39 = 412,920,876,690.27/x
  3. Step 3: Cross multiply
    412,920,876,690.27x = 619,381,315,035.39 × 412,920,876,690.27
  4. Step 4: Simplify right side
    412,920,876,690.27x = 255,755,475,609,985,556,152,320
  5. Step 5: Solve for x
    x = 255,755,475,609,985,556,152,320/412,920,876,690.27
  6. Step 6: Final answer
    x = 619,381,315,035.39

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Similar ratio
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1.5x scale

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.