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Finding the Fourth Proportional to 167,816,448,005.20, 251,724,672,007.80 and 167,816,448,005.20

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Solution

The fourth proportional to 167,816,448,005.20, 251,724,672,007.80 and 167,816,448,005.20 is: 251,724,672,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,816,448,005.20 : 251,724,672,007.80 = 167,816,448,005.20 : x
  2. Step 2: Convert to fraction form
    167,816,448,005.20/251,724,672,007.80 = 167,816,448,005.20/x
  3. Step 3: Cross multiply
    167,816,448,005.20x = 251,724,672,007.80 × 167,816,448,005.20
  4. Step 4: Simplify right side
    167,816,448,005.20x = 42,243,540,331,622,991,659,008
  5. Step 5: Solve for x
    x = 42,243,540,331,622,991,659,008/167,816,448,005.20
  6. Step 6: Final answer
    x = 251,724,672,007.80

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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.