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Finding the Fourth Proportional to 182,868,192,682.52, 274,302,289,023.80 and 182,868,192,682.52

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Solution

The fourth proportional to 182,868,192,682.52, 274,302,289,023.80 and 182,868,192,682.52 is: 274,302,289,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,868,192,682.52 : 274,302,289,023.80 = 182,868,192,682.52 : x
  2. Step 2: Convert to fraction form
    182,868,192,682.52/274,302,289,023.80 = 182,868,192,682.52/x
  3. Step 3: Cross multiply
    182,868,192,682.52x = 274,302,289,023.80 × 182,868,192,682.52
  4. Step 4: Simplify right side
    182,868,192,682.52x = 50,161,163,842,460,544,139,264
  5. Step 5: Solve for x
    x = 50,161,163,842,460,544,139,264/182,868,192,682.52
  6. Step 6: Final answer
    x = 274,302,289,023.80

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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.