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Finding the Fourth Proportional to 100,203,493,600.82, 150,305,240,401.23 and 100,203,493,600.82

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Solution

The fourth proportional to 100,203,493,600.82, 150,305,240,401.23 and 100,203,493,600.82 is: 150,305,240,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,493,600.82 : 150,305,240,401.23 = 100,203,493,600.82 : x
  2. Step 2: Convert to fraction form
    100,203,493,600.82/150,305,240,401.23 = 100,203,493,600.82/x
  3. Step 3: Cross multiply
    100,203,493,600.82x = 150,305,240,401.23 × 100,203,493,600.82
  4. Step 4: Simplify right side
    100,203,493,600.82x = 15,061,110,194,714,364,084,224
  5. Step 5: Solve for x
    x = 15,061,110,194,714,364,084,224/100,203,493,600.82
  6. Step 6: Final answer
    x = 150,305,240,401.23

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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.