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Finding the Fourth Proportional to 119,472,912,189.20, 179,209,368,283.80 and 119,472,912,189.20

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Solution

The fourth proportional to 119,472,912,189.20, 179,209,368,283.80 and 119,472,912,189.20 is: 179,209,368,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,472,912,189.20 : 179,209,368,283.80 = 119,472,912,189.20 : x
  2. Step 2: Convert to fraction form
    119,472,912,189.20/179,209,368,283.80 = 119,472,912,189.20/x
  3. Step 3: Cross multiply
    119,472,912,189.20x = 179,209,368,283.80 × 119,472,912,189.20
  4. Step 4: Simplify right side
    119,472,912,189.20x = 21,410,665,120,452,438,917,120
  5. Step 5: Solve for x
    x = 21,410,665,120,452,438,917,120/119,472,912,189.20
  6. Step 6: Final answer
    x = 179,209,368,283.80

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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.