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Finding the Fourth Proportional to 259,780,632,027.70, 389,670,948,041.55 and 259,780,632,027.70

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Solution

The fourth proportional to 259,780,632,027.70, 389,670,948,041.55 and 259,780,632,027.70 is: 389,670,948,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,780,632,027.70 : 389,670,948,041.55 = 259,780,632,027.70 : x
  2. Step 2: Convert to fraction form
    259,780,632,027.70/389,670,948,041.55 = 259,780,632,027.70/x
  3. Step 3: Cross multiply
    259,780,632,027.70x = 389,670,948,041.55 × 259,780,632,027.70
  4. Step 4: Simplify right side
    259,780,632,027.70x = 101,228,965,165,066,910,433,280
  5. Step 5: Solve for x
    x = 101,228,965,165,066,910,433,280/259,780,632,027.70
  6. Step 6: Final answer
    x = 389,670,948,041.55

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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.