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Finding the Fourth Proportional to 674,476,745.74, 930,492,895.16 and 451,530,257.24

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Solution

The fourth proportional to 674,476,745.74, 930,492,895.16 and 451,530,257.24 is: 622,920,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,476,745.74 : 930,492,895.16 = 451,530,257.24 : x
  2. Step 2: Convert to fraction form
    674,476,745.74/930,492,895.16 = 451,530,257.24/x
  3. Step 3: Cross multiply
    674,476,745.74x = 930,492,895.16 × 451,530,257.24
  4. Step 4: Simplify right side
    674,476,745.74x = 420,145,696,315,042,240
  5. Step 5: Solve for x
    x = 420,145,696,315,042,240/674,476,745.74
  6. Step 6: Final answer
    x = 622,920,951.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.