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Finding the Fourth Proportional to 182,868,192,648.03, 274,302,288,972.03 and 182,868,192,648.03

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Solution

The fourth proportional to 182,868,192,648.03, 274,302,288,972.03 and 182,868,192,648.03 is: 274,302,288,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,868,192,648.03 : 274,302,288,972.03 = 182,868,192,648.03 : x
  2. Step 2: Convert to fraction form
    182,868,192,648.03/274,302,288,972.03 = 182,868,192,648.03/x
  3. Step 3: Cross multiply
    182,868,192,648.03x = 274,302,288,972.03 × 182,868,192,648.03
  4. Step 4: Simplify right side
    182,868,192,648.03x = 50,161,163,823,532,774,260,736
  5. Step 5: Solve for x
    x = 50,161,163,823,532,774,260,736/182,868,192,648.03
  6. Step 6: Final answer
    x = 274,302,288,972.03

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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.