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Finding the Fourth Proportional to 100,203,577,892.55, 150,305,366,838.83 and 100,203,577,892.55

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Solution

The fourth proportional to 100,203,577,892.55, 150,305,366,838.83 and 100,203,577,892.55 is: 150,305,366,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,577,892.55 : 150,305,366,838.83 = 100,203,577,892.55 : x
  2. Step 2: Convert to fraction form
    100,203,577,892.55/150,305,366,838.83 = 100,203,577,892.55/x
  3. Step 3: Cross multiply
    100,203,577,892.55x = 150,305,366,838.83 × 100,203,577,892.55
  4. Step 4: Simplify right side
    100,203,577,892.55x = 15,061,135,533,703,002,324,992
  5. Step 5: Solve for x
    x = 15,061,135,533,703,002,324,992/100,203,577,892.55
  6. Step 6: Final answer
    x = 150,305,366,838.83

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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.