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Finding the Fourth Proportional to 470,505,796.80, 705,758,695.20 and 276,510,148.80

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Solution

The fourth proportional to 470,505,796.80, 705,758,695.20 and 276,510,148.80 is: 414,765,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,505,796.80 : 705,758,695.20 = 276,510,148.80 : x
  2. Step 2: Convert to fraction form
    470,505,796.80/705,758,695.20 = 276,510,148.80/x
  3. Step 3: Cross multiply
    470,505,796.80x = 705,758,695.20 × 276,510,148.80
  4. Step 4: Simplify right side
    470,505,796.80x = 195,149,441,826,645,856
  5. Step 5: Solve for x
    x = 195,149,441,826,645,856/470,505,796.80
  6. Step 6: Final answer
    x = 414,765,223.20

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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.