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Finding the Fourth Proportional to 167,204,841,505.65, 250,807,262,258.47 and 167,204,841,505.65

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Solution

The fourth proportional to 167,204,841,505.65, 250,807,262,258.47 and 167,204,841,505.65 is: 250,807,262,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,841,505.65 : 250,807,262,258.47 = 167,204,841,505.65 : x
  2. Step 2: Convert to fraction form
    167,204,841,505.65/250,807,262,258.47 = 167,204,841,505.65/x
  3. Step 3: Cross multiply
    167,204,841,505.65x = 250,807,262,258.47 × 167,204,841,505.65
  4. Step 4: Simplify right side
    167,204,841,505.65x = 41,936,188,534,393,470,451,712
  5. Step 5: Solve for x
    x = 41,936,188,534,393,470,451,712/167,204,841,505.65
  6. Step 6: Final answer
    x = 250,807,262,258.47

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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.