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Finding the Fourth Proportional to 259,780,632,034.20, 389,670,948,051.30 and 259,780,632,034.20

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Solution

The fourth proportional to 259,780,632,034.20, 389,670,948,051.30 and 259,780,632,034.20 is: 389,670,948,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,780,632,034.20 : 389,670,948,051.30 = 259,780,632,034.20 : x
  2. Step 2: Convert to fraction form
    259,780,632,034.20/389,670,948,051.30 = 259,780,632,034.20/x
  3. Step 3: Cross multiply
    259,780,632,034.20x = 389,670,948,051.30 × 259,780,632,034.20
  4. Step 4: Simplify right side
    259,780,632,034.20x = 101,228,965,170,132,623,032,320
  5. Step 5: Solve for x
    x = 101,228,965,170,132,623,032,320/259,780,632,034.20
  6. Step 6: Final answer
    x = 389,670,948,051.30

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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.