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Finding the Fourth Proportional to 100,203,550,655.55, 150,305,325,983.33 and 100,203,550,655.55

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Solution

The fourth proportional to 100,203,550,655.55, 150,305,325,983.33 and 100,203,550,655.55 is: 150,305,325,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,550,655.55 : 150,305,325,983.33 = 100,203,550,655.55 : x
  2. Step 2: Convert to fraction form
    100,203,550,655.55/150,305,325,983.33 = 100,203,550,655.55/x
  3. Step 3: Cross multiply
    100,203,550,655.55x = 150,305,325,983.33 × 100,203,550,655.55
  4. Step 4: Simplify right side
    100,203,550,655.55x = 15,061,127,345,969,561,600,000
  5. Step 5: Solve for x
    x = 15,061,127,345,969,561,600,000/100,203,550,655.55
  6. Step 6: Final answer
    x = 150,305,325,983.33

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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.