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Finding the Fourth Proportional to 100,203,493,206.20, 150,305,239,809.30 and 100,203,493,206.20

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Solution

The fourth proportional to 100,203,493,206.20, 150,305,239,809.30 and 100,203,493,206.20 is: 150,305,239,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,493,206.20 : 150,305,239,809.30 = 100,203,493,206.20 : x
  2. Step 2: Convert to fraction form
    100,203,493,206.20/150,305,239,809.30 = 100,203,493,206.20/x
  3. Step 3: Cross multiply
    100,203,493,206.20x = 150,305,239,809.30 × 100,203,493,206.20
  4. Step 4: Simplify right side
    100,203,493,206.20x = 15,061,110,076,087,453,351,936
  5. Step 5: Solve for x
    x = 15,061,110,076,087,453,351,936/100,203,493,206.20
  6. Step 6: Final answer
    x = 150,305,239,809.30

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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.