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Finding the Fourth Proportional to 110,438,138,648.80, 165,657,207,973.20 and 110,438,138,648.80

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Solution

The fourth proportional to 110,438,138,648.80, 165,657,207,973.20 and 110,438,138,648.80 is: 165,657,207,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438,138,648.80 : 165,657,207,973.20 = 110,438,138,648.80 : x
  2. Step 2: Convert to fraction form
    110,438,138,648.80/165,657,207,973.20 = 110,438,138,648.80/x
  3. Step 3: Cross multiply
    110,438,138,648.80x = 165,657,207,973.20 × 110,438,138,648.80
  4. Step 4: Simplify right side
    110,438,138,648.80x = 18,294,873,702,317,359,628,288
  5. Step 5: Solve for x
    x = 18,294,873,702,317,359,628,288/110,438,138,648.80
  6. Step 6: Final answer
    x = 165,657,207,973.20

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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.