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Finding the Fourth Proportional to 424,100,657.20, 635,255,190.60 and 424,100,657.20

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Solution

The fourth proportional to 424,100,657.20, 635,255,190.60 and 424,100,657.20 is: 635,255,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,100,657.20 : 635,255,190.60 = 424,100,657.20 : x
  2. Step 2: Convert to fraction form
    424,100,657.20/635,255,190.60 = 424,100,657.20/x
  3. Step 3: Cross multiply
    424,100,657.20x = 635,255,190.60 × 424,100,657.20
  4. Step 4: Simplify right side
    424,100,657.20x = 269,412,143,823,171,264
  5. Step 5: Solve for x
    x = 269,412,143,823,171,264/424,100,657.20
  6. Step 6: Final answer
    x = 635,255,190.60

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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.