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Finding the Fourth Proportional to 110,016,591,782.20, 165,024,887,673.30 and 110,016,591,782.20

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Solution

The fourth proportional to 110,016,591,782.20, 165,024,887,673.30 and 110,016,591,782.20 is: 165,024,887,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,016,591,782.20 : 165,024,887,673.30 = 110,016,591,782.20 : x
  2. Step 2: Convert to fraction form
    110,016,591,782.20/165,024,887,673.30 = 110,016,591,782.20/x
  3. Step 3: Cross multiply
    110,016,591,782.20x = 165,024,887,673.30 × 110,016,591,782.20
  4. Step 4: Simplify right side
    110,016,591,782.20x = 18,155,475,701,056,852,197,376
  5. Step 5: Solve for x
    x = 18,155,475,701,056,852,197,376/110,016,591,782.20
  6. Step 6: Final answer
    x = 165,024,887,673.30

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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.