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Finding the Fourth Proportional to 17,877,449,346.80, 26,816,174,020.20 and 17,877,449,346.80

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Solution

The fourth proportional to 17,877,449,346.80, 26,816,174,020.20 and 17,877,449,346.80 is: 26,816,174,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877,449,346.80 : 26,816,174,020.20 = 17,877,449,346.80 : x
  2. Step 2: Convert to fraction form
    17,877,449,346.80/26,816,174,020.20 = 17,877,449,346.80/x
  3. Step 3: Cross multiply
    17,877,449,346.80x = 26,816,174,020.20 × 17,877,449,346.80
  4. Step 4: Simplify right side
    17,877,449,346.80x = 479,404,792,721,099,587,584
  5. Step 5: Solve for x
    x = 479,404,792,721,099,587,584/17,877,449,346.80
  6. Step 6: Final answer
    x = 26,816,174,020.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.