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Finding the Fourth Proportional to 966,001,749.70, 1,449,002,624.55 and 966,001,749.70

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Solution

The fourth proportional to 966,001,749.70, 1,449,002,624.55 and 966,001,749.70 is: 1,449,002,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,001,749.70 : 1,449,002,624.55 = 966,001,749.70 : x
  2. Step 2: Convert to fraction form
    966,001,749.70/1,449,002,624.55 = 966,001,749.70/x
  3. Step 3: Cross multiply
    966,001,749.70x = 1,449,002,624.55 × 966,001,749.70
  4. Step 4: Simplify right side
    966,001,749.70x = 1,399,739,070,635,192,320
  5. Step 5: Solve for x
    x = 1,399,739,070,635,192,320/966,001,749.70
  6. Step 6: Final answer
    x = 1,449,002,624.55

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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.