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Finding the Fourth Proportional to 9,743,296.80, 13,663,010.40 and 9,743,296.80

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Solution

The fourth proportional to 9,743,296.80, 13,663,010.40 and 9,743,296.80 is: 13,663,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743,296.80 : 13,663,010.40 = 9,743,296.80 : x
  2. Step 2: Convert to fraction form
    9,743,296.80/13,663,010.40 = 9,743,296.80/x
  3. Step 3: Cross multiply
    9,743,296.80x = 13,663,010.40 × 9,743,296.80
  4. Step 4: Simplify right side
    9,743,296.80x = 133,122,765,508,686.73
  5. Step 5: Solve for x
    x = 133,122,765,508,686.73/9,743,296.80
  6. Step 6: Final answer
    x = 13,663,010.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.