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Finding the Fourth Proportional to 167,298,048,696.30, 250,947,073,044.45 and 167,298,048,696.30

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Solution

The fourth proportional to 167,298,048,696.30, 250,947,073,044.45 and 167,298,048,696.30 is: 250,947,073,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,298,048,696.30 : 250,947,073,044.45 = 167,298,048,696.30 : x
  2. Step 2: Convert to fraction form
    167,298,048,696.30/250,947,073,044.45 = 167,298,048,696.30/x
  3. Step 3: Cross multiply
    167,298,048,696.30x = 250,947,073,044.45 × 167,298,048,696.30
  4. Step 4: Simplify right side
    167,298,048,696.30x = 41,982,955,646,384,345,186,304
  5. Step 5: Solve for x
    x = 41,982,955,646,384,345,186,304/167,298,048,696.30
  6. Step 6: Final answer
    x = 250,947,073,044.45

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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.