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Finding the Fourth Proportional to 40,945,565,523.30, 61,418,348,284.95 and 40,945,565,523.30

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Solution

The fourth proportional to 40,945,565,523.30, 61,418,348,284.95 and 40,945,565,523.30 is: 61,418,348,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,945,565,523.30 : 61,418,348,284.95 = 40,945,565,523.30 : x
  2. Step 2: Convert to fraction form
    40,945,565,523.30/61,418,348,284.95 = 40,945,565,523.30/x
  3. Step 3: Cross multiply
    40,945,565,523.30x = 61,418,348,284.95 × 40,945,565,523.30
  4. Step 4: Simplify right side
    40,945,565,523.30x = 2,514,809,004,034,280,652,800
  5. Step 5: Solve for x
    x = 2,514,809,004,034,280,652,800/40,945,565,523.30
  6. Step 6: Final answer
    x = 61,418,348,284.95

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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.