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Finding the Fourth Proportional to 274,711,104,002.55, 412,066,656,003.80 and 274,711,104,002.55

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Solution

The fourth proportional to 274,711,104,002.55, 412,066,656,003.80 and 274,711,104,002.55 is: 412,066,656,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,711,104,002.55 : 412,066,656,003.80 = 274,711,104,002.55 : x
  2. Step 2: Convert to fraction form
    274,711,104,002.55/412,066,656,003.80 = 274,711,104,002.55/x
  3. Step 3: Cross multiply
    274,711,104,002.55x = 412,066,656,003.80 × 274,711,104,002.55
  4. Step 4: Simplify right side
    274,711,104,002.55x = 113,199,285,993,442,891,530,240
  5. Step 5: Solve for x
    x = 113,199,285,993,442,891,530,240/274,711,104,002.55
  6. Step 6: Final answer
    x = 412,066,656,003.80

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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.