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Finding the Fourth Proportional to 104,782,561,229.70, 157,173,841,844.55 and 104,782,561,229.70

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Solution

The fourth proportional to 104,782,561,229.70, 157,173,841,844.55 and 104,782,561,229.70 is: 157,173,841,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,782,561,229.70 : 157,173,841,844.55 = 104,782,561,229.70 : x
  2. Step 2: Convert to fraction form
    104,782,561,229.70/157,173,841,844.55 = 104,782,561,229.70/x
  3. Step 3: Cross multiply
    104,782,561,229.70x = 157,173,841,844.55 × 104,782,561,229.70
  4. Step 4: Simplify right side
    104,782,561,229.70x = 16,469,077,706,783,743,541,248
  5. Step 5: Solve for x
    x = 16,469,077,706,783,743,541,248/104,782,561,229.70
  6. Step 6: Final answer
    x = 157,173,841,844.55

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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.