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Finding the Fourth Proportional to 274,302,288,999.10, 411,453,433,498.65 and 274,302,288,999.10

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Solution

The fourth proportional to 274,302,288,999.10, 411,453,433,498.65 and 274,302,288,999.10 is: 411,453,433,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,302,288,999.10 : 411,453,433,498.65 = 274,302,288,999.10 : x
  2. Step 2: Convert to fraction form
    274,302,288,999.10/411,453,433,498.65 = 274,302,288,999.10/x
  3. Step 3: Cross multiply
    274,302,288,999.10x = 411,453,433,498.65 × 274,302,288,999.10
  4. Step 4: Simplify right side
    274,302,288,999.10x = 112,862,618,625,218,675,998,720
  5. Step 5: Solve for x
    x = 112,862,618,625,218,675,998,720/274,302,288,999.10
  6. Step 6: Final answer
    x = 411,453,433,498.65

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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.