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Finding the Fourth Proportional to 33,640,982,107.20, 50,461,473,160.80 and 33,640,982,107.20

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Solution

The fourth proportional to 33,640,982,107.20, 50,461,473,160.80 and 33,640,982,107.20 is: 50,461,473,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640,982,107.20 : 50,461,473,160.80 = 33,640,982,107.20 : x
  2. Step 2: Convert to fraction form
    33,640,982,107.20/50,461,473,160.80 = 33,640,982,107.20/x
  3. Step 3: Cross multiply
    33,640,982,107.20x = 50,461,473,160.80 × 33,640,982,107.20
  4. Step 4: Simplify right side
    33,640,982,107.20x = 1,697,573,515,705,425,854,464
  5. Step 5: Solve for x
    x = 1,697,573,515,705,425,854,464/33,640,982,107.20
  6. Step 6: Final answer
    x = 50,461,473,160.80

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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.