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Finding the Fourth Proportional to 274,302,288,974.78, 411,453,433,462.20 and 274,302,288,974.78

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Solution

The fourth proportional to 274,302,288,974.78, 411,453,433,462.20 and 274,302,288,974.78 is: 411,453,433,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,302,288,974.78 : 411,453,433,462.20 = 274,302,288,974.78 : x
  2. Step 2: Convert to fraction form
    274,302,288,974.78/411,453,433,462.20 = 274,302,288,974.78/x
  3. Step 3: Cross multiply
    274,302,288,974.78x = 411,453,433,462.20 × 274,302,288,974.78
  4. Step 4: Simplify right side
    274,302,288,974.78x = 112,862,618,605,213,808,852,992
  5. Step 5: Solve for x
    x = 112,862,618,605,213,808,852,992/274,302,288,974.78
  6. Step 6: Final answer
    x = 411,453,433,462.20

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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.