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Finding the Fourth Proportional to 182,868,192,821.52, 274,302,289,232.30 and 182,868,192,821.52

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Solution

The fourth proportional to 182,868,192,821.52, 274,302,289,232.30 and 182,868,192,821.52 is: 274,302,289,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,868,192,821.52 : 274,302,289,232.30 = 182,868,192,821.52 : x
  2. Step 2: Convert to fraction form
    182,868,192,821.52/274,302,289,232.30 = 182,868,192,821.52/x
  3. Step 3: Cross multiply
    182,868,192,821.52x = 274,302,289,232.30 × 182,868,192,821.52
  4. Step 4: Simplify right side
    182,868,192,821.52x = 50,161,163,918,716,581,183,488
  5. Step 5: Solve for x
    x = 50,161,163,918,716,581,183,488/182,868,192,821.52
  6. Step 6: Final answer
    x = 274,302,289,232.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.