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Finding the Fourth Proportional to 559,873,806.20, 839,810,709.30 and 313,978,023.80

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Solution

The fourth proportional to 559,873,806.20, 839,810,709.30 and 313,978,023.80 is: 470,967,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,806.20 : 839,810,709.30 = 313,978,023.80 : x
  2. Step 2: Convert to fraction form
    559,873,806.20/839,810,709.30 = 313,978,023.80/x
  3. Step 3: Cross multiply
    559,873,806.20x = 839,810,709.30 × 313,978,023.80
  4. Step 4: Simplify right side
    559,873,806.20x = 263,682,106,872,090,272
  5. Step 5: Solve for x
    x = 263,682,106,872,090,272/559,873,806.20
  6. Step 6: Final answer
    x = 470,967,035.70

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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.