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Finding the Fourth Proportional to 557,606,800.20, 836,410,200.30 and 497,341,390.80

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Solution

The fourth proportional to 557,606,800.20, 836,410,200.30 and 497,341,390.80 is: 746,012,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,606,800.20 : 836,410,200.30 = 497,341,390.80 : x
  2. Step 2: Convert to fraction form
    557,606,800.20/836,410,200.30 = 497,341,390.80/x
  3. Step 3: Cross multiply
    557,606,800.20x = 836,410,200.30 × 497,341,390.80
  4. Step 4: Simplify right side
    557,606,800.20x = 415,981,412,296,508,544
  5. Step 5: Solve for x
    x = 415,981,412,296,508,544/557,606,800.20
  6. Step 6: Final answer
    x = 746,012,086.20

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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.