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Finding the Fourth Proportional to 110,438,137,217.80, 165,657,205,826.70 and 110,438,137,217.80

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Solution

The fourth proportional to 110,438,137,217.80, 165,657,205,826.70 and 110,438,137,217.80 is: 165,657,205,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438,137,217.80 : 165,657,205,826.70 = 110,438,137,217.80 : x
  2. Step 2: Convert to fraction form
    110,438,137,217.80/165,657,205,826.70 = 110,438,137,217.80/x
  3. Step 3: Cross multiply
    110,438,137,217.80x = 165,657,205,826.70 × 110,438,137,217.80
  4. Step 4: Simplify right side
    110,438,137,217.80x = 18,294,873,228,206,434,942,976
  5. Step 5: Solve for x
    x = 18,294,873,228,206,434,942,976/110,438,137,217.80
  6. Step 6: Final answer
    x = 165,657,205,826.70

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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.