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Finding the Fourth Proportional to 472,392,679.20, 659,819,200.80 and 472,392,679.20

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Solution

The fourth proportional to 472,392,679.20, 659,819,200.80 and 472,392,679.20 is: 659,819,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,679.20 : 659,819,200.80 = 472,392,679.20 : x
  2. Step 2: Convert to fraction form
    472,392,679.20/659,819,200.80 = 472,392,679.20/x
  3. Step 3: Cross multiply
    472,392,679.20x = 659,819,200.80 × 472,392,679.20
  4. Step 4: Simplify right side
    472,392,679.20x = 311,693,760,053,514,752
  5. Step 5: Solve for x
    x = 311,693,760,053,514,752/472,392,679.20
  6. Step 6: Final answer
    x = 659,819,200.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.