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Finding the Fourth Proportional to 300,795,606,630.30, 451,193,409,945.45 and 300,795,606,630.30

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Solution

The fourth proportional to 300,795,606,630.30, 451,193,409,945.45 and 300,795,606,630.30 is: 451,193,409,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,795,606,630.30 : 451,193,409,945.45 = 300,795,606,630.30 : x
  2. Step 2: Convert to fraction form
    300,795,606,630.30/451,193,409,945.45 = 300,795,606,630.30/x
  3. Step 3: Cross multiply
    300,795,606,630.30x = 451,193,409,945.45 × 300,795,606,630.30
  4. Step 4: Simplify right side
    300,795,606,630.30x = 135,716,995,452,135,257,669,632
  5. Step 5: Solve for x
    x = 135,716,995,452,135,257,669,632/300,795,606,630.30
  6. Step 6: Final answer
    x = 451,193,409,945.45

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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.