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Finding the Fourth Proportional to 577,470,733.20, 866,206,099.80 and 347,888,221.20

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Solution

The fourth proportional to 577,470,733.20, 866,206,099.80 and 347,888,221.20 is: 521,832,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,470,733.20 : 866,206,099.80 = 347,888,221.20 : x
  2. Step 2: Convert to fraction form
    577,470,733.20/866,206,099.80 = 347,888,221.20/x
  3. Step 3: Cross multiply
    577,470,733.20x = 866,206,099.80 × 347,888,221.20
  4. Step 4: Simplify right side
    577,470,733.20x = 301,342,899,252,011,648
  5. Step 5: Solve for x
    x = 301,342,899,252,011,648/577,470,733.20
  6. Step 6: Final answer
    x = 521,832,331.80

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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.