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Finding the Fourth Proportional to 81,330,288,685.20, 121,995,433,027.80 and 81,330,288,685.20

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Solution

The fourth proportional to 81,330,288,685.20, 121,995,433,027.80 and 81,330,288,685.20 is: 121,995,433,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,330,288,685.20 : 121,995,433,027.80 = 81,330,288,685.20 : x
  2. Step 2: Convert to fraction form
    81,330,288,685.20/121,995,433,027.80 = 81,330,288,685.20/x
  3. Step 3: Cross multiply
    81,330,288,685.20x = 121,995,433,027.80 × 81,330,288,685.20
  4. Step 4: Simplify right side
    81,330,288,685.20x = 9,921,923,786,426,957,168,640
  5. Step 5: Solve for x
    x = 9,921,923,786,426,957,168,640/81,330,288,685.20
  6. Step 6: Final answer
    x = 121,995,433,027.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.