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Finding the Fourth Proportional to 427,173,819.20, 640,760,728.80 and 427,173,819.20

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Solution

The fourth proportional to 427,173,819.20, 640,760,728.80 and 427,173,819.20 is: 640,760,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,173,819.20 : 640,760,728.80 = 427,173,819.20 : x
  2. Step 2: Convert to fraction form
    427,173,819.20/640,760,728.80 = 427,173,819.20/x
  3. Step 3: Cross multiply
    427,173,819.20x = 640,760,728.80 × 427,173,819.20
  4. Step 4: Simplify right side
    427,173,819.20x = 273,716,207,714,871,392
  5. Step 5: Solve for x
    x = 273,716,207,714,871,392/427,173,819.20
  6. Step 6: Final answer
    x = 640,760,728.80

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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.