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Finding the Fourth Proportional to 11,881,206,942.30, 17,821,810,413.45 and 11,881,206,942.30

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Solution

The fourth proportional to 11,881,206,942.30, 17,821,810,413.45 and 11,881,206,942.30 is: 17,821,810,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881,206,942.30 : 17,821,810,413.45 = 11,881,206,942.30 : x
  2. Step 2: Convert to fraction form
    11,881,206,942.30/17,821,810,413.45 = 11,881,206,942.30/x
  3. Step 3: Cross multiply
    11,881,206,942.30x = 17,821,810,413.45 × 11,881,206,942.30
  4. Step 4: Simplify right side
    11,881,206,942.30x = 211,744,617,608,636,563,456
  5. Step 5: Solve for x
    x = 211,744,617,608,636,563,456/11,881,206,942.30
  6. Step 6: Final answer
    x = 17,821,810,413.45

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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.