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Finding the Fourth Proportional to 83,921,546,746.80, 125,882,320,120.20 and 83,921,546,746.80

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Solution

The fourth proportional to 83,921,546,746.80, 125,882,320,120.20 and 83,921,546,746.80 is: 125,882,320,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,921,546,746.80 : 125,882,320,120.20 = 83,921,546,746.80 : x
  2. Step 2: Convert to fraction form
    83,921,546,746.80/125,882,320,120.20 = 83,921,546,746.80/x
  3. Step 3: Cross multiply
    83,921,546,746.80x = 125,882,320,120.20 × 83,921,546,746.80
  4. Step 4: Simplify right side
    83,921,546,746.80x = 10,564,239,012,563,005,734,912
  5. Step 5: Solve for x
    x = 10,564,239,012,563,005,734,912/83,921,546,746.80
  6. Step 6: Final answer
    x = 125,882,320,120.20

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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.