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Finding the Fourth Proportional to 472,392,422.80, 708,588,634.20 and 432,215,483.20

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Solution

The fourth proportional to 472,392,422.80, 708,588,634.20 and 432,215,483.20 is: 648,323,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,422.80 : 708,588,634.20 = 432,215,483.20 : x
  2. Step 2: Convert to fraction form
    472,392,422.80/708,588,634.20 = 432,215,483.20/x
  3. Step 3: Cross multiply
    472,392,422.80x = 708,588,634.20 × 432,215,483.20
  4. Step 4: Simplify right side
    472,392,422.80x = 306,262,978,920,781,056
  5. Step 5: Solve for x
    x = 306,262,978,920,781,056/472,392,422.80
  6. Step 6: Final answer
    x = 648,323,224.80

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1.5x scale

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.