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Finding the Fourth Proportional to 7,981,908,002.40, 11,972,862,003.60 and 7,981,908,002.40

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Solution

The fourth proportional to 7,981,908,002.40, 11,972,862,003.60 and 7,981,908,002.40 is: 11,972,862,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981,908,002.40 : 11,972,862,003.60 = 7,981,908,002.40 : x
  2. Step 2: Convert to fraction form
    7,981,908,002.40/11,972,862,003.60 = 7,981,908,002.40/x
  3. Step 3: Cross multiply
    7,981,908,002.40x = 11,972,862,003.60 × 7,981,908,002.40
  4. Step 4: Simplify right side
    7,981,908,002.40x = 95,566,283,038,165,729,280
  5. Step 5: Solve for x
    x = 95,566,283,038,165,729,280/7,981,908,002.40
  6. Step 6: Final answer
    x = 11,972,862,003.60

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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.