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Finding the Fourth Proportional to 135,756,890,999.70, 203,635,336,499.55 and 135,756,890,999.70

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Solution

The fourth proportional to 135,756,890,999.70, 203,635,336,499.55 and 135,756,890,999.70 is: 203,635,336,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756,890,999.70 : 203,635,336,499.55 = 135,756,890,999.70 : x
  2. Step 2: Convert to fraction form
    135,756,890,999.70/203,635,336,499.55 = 135,756,890,999.70/x
  3. Step 3: Cross multiply
    135,756,890,999.70x = 203,635,336,499.55 × 135,756,890,999.70
  4. Step 4: Simplify right side
    135,756,890,999.70x = 27,644,900,180,856,638,799,872
  5. Step 5: Solve for x
    x = 27,644,900,180,856,638,799,872/135,756,890,999.70
  6. Step 6: Final answer
    x = 203,635,336,499.55

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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.