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Finding the Fourth Proportional to 100,203,493,246.95, 150,305,239,870.42 and 100,203,493,246.95

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Solution

The fourth proportional to 100,203,493,246.95, 150,305,239,870.42 and 100,203,493,246.95 is: 150,305,239,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203,493,246.95 : 150,305,239,870.42 = 100,203,493,246.95 : x
  2. Step 2: Convert to fraction form
    100,203,493,246.95/150,305,239,870.42 = 100,203,493,246.95/x
  3. Step 3: Cross multiply
    100,203,493,246.95x = 150,305,239,870.42 × 100,203,493,246.95
  4. Step 4: Simplify right side
    100,203,493,246.95x = 15,061,110,088,336,832,200,704
  5. Step 5: Solve for x
    x = 15,061,110,088,336,832,200,704/100,203,493,246.95
  6. Step 6: Final answer
    x = 150,305,239,870.42

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Double scale
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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.