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Finding the Fourth Proportional to 170,836,992,893.80, 256,255,489,340.70 and 170,836,992,893.80

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Solution

The fourth proportional to 170,836,992,893.80, 256,255,489,340.70 and 170,836,992,893.80 is: 256,255,489,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,836,992,893.80 : 256,255,489,340.70 = 170,836,992,893.80 : x
  2. Step 2: Convert to fraction form
    170,836,992,893.80/256,255,489,340.70 = 170,836,992,893.80/x
  3. Step 3: Cross multiply
    170,836,992,893.80x = 256,255,489,340.70 × 170,836,992,893.80
  4. Step 4: Simplify right side
    170,836,992,893.80x = 43,777,917,211,494,408,257,536
  5. Step 5: Solve for x
    x = 43,777,917,211,494,408,257,536/170,836,992,893.80
  6. Step 6: Final answer
    x = 256,255,489,340.70

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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.