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Finding the Fourth Proportional to 3,841,344,665.40, 5,392,394,413.80 and 3,841,344,665.40

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Solution

The fourth proportional to 3,841,344,665.40, 5,392,394,413.80 and 3,841,344,665.40 is: 5,392,394,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841,344,665.40 : 5,392,394,413.80 = 3,841,344,665.40 : x
  2. Step 2: Convert to fraction form
    3,841,344,665.40/5,392,394,413.80 = 3,841,344,665.40/x
  3. Step 3: Cross multiply
    3,841,344,665.40x = 5,392,394,413.80 × 3,841,344,665.40
  4. Step 4: Simplify right side
    3,841,344,665.40x = 20,714,045,515,183,390,720
  5. Step 5: Solve for x
    x = 20,714,045,515,183,390,720/3,841,344,665.40
  6. Step 6: Final answer
    x = 5,392,394,413.80

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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.