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Finding the Fourth Proportional to 649,890,264.67, 974,799,514.51 and 475,192,321.94

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Solution

The fourth proportional to 649,890,264.67, 974,799,514.51 and 475,192,321.94 is: 712,762,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,890,264.67 : 974,799,514.51 = 475,192,321.94 : x
  2. Step 2: Convert to fraction form
    649,890,264.67/974,799,514.51 = 475,192,321.94/x
  3. Step 3: Cross multiply
    649,890,264.67x = 974,799,514.51 × 475,192,321.94
  4. Step 4: Simplify right side
    649,890,264.67x = 463,217,244,727,240,640
  5. Step 5: Solve for x
    x = 463,217,244,727,240,640/649,890,264.67
  6. Step 6: Final answer
    x = 712,762,246.05

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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.