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Finding the Fourth Proportional to 471,616,211.30, 706,752,470.55 and 347,828,512.10

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Solution

The fourth proportional to 471,616,211.30, 706,752,470.55 and 347,828,512.10 is: 521,247,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,616,211.30 : 706,752,470.55 = 347,828,512.10 : x
  2. Step 2: Convert to fraction form
    471,616,211.30/706,752,470.55 = 347,828,512.10/x
  3. Step 3: Cross multiply
    471,616,211.30x = 706,752,470.55 × 347,828,512.10
  4. Step 4: Simplify right side
    471,616,211.30x = 245,828,660,254,405,568
  5. Step 5: Solve for x
    x = 245,828,660,254,405,568/471,616,211.30
  6. Step 6: Final answer
    x = 521,247,264.97

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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.