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Finding the Fourth Proportional to 966,001,748.70, 1,449,002,623.05 and 966,001,748.70

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Solution

The fourth proportional to 966,001,748.70, 1,449,002,623.05 and 966,001,748.70 is: 1,449,002,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,001,748.70 : 1,449,002,623.05 = 966,001,748.70 : x
  2. Step 2: Convert to fraction form
    966,001,748.70/1,449,002,623.05 = 966,001,748.70/x
  3. Step 3: Cross multiply
    966,001,748.70x = 1,449,002,623.05 × 966,001,748.70
  4. Step 4: Simplify right side
    966,001,748.70x = 1,399,739,067,737,187,072
  5. Step 5: Solve for x
    x = 1,399,739,067,737,187,072/966,001,748.70
  6. Step 6: Final answer
    x = 1,449,002,623.05

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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.