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Finding the Fourth Proportional to 617,549,984.80, 926,324,977.20 and 531,456,542.80

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Solution

The fourth proportional to 617,549,984.80, 926,324,977.20 and 531,456,542.80 is: 797,184,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,549,984.80 : 926,324,977.20 = 531,456,542.80 : x
  2. Step 2: Convert to fraction form
    617,549,984.80/926,324,977.20 = 531,456,542.80/x
  3. Step 3: Cross multiply
    617,549,984.80x = 926,324,977.20 × 531,456,542.80
  4. Step 4: Simplify right side
    617,549,984.80x = 492,301,469,892,000,832
  5. Step 5: Solve for x
    x = 492,301,469,892,000,832/617,549,984.80
  6. Step 6: Final answer
    x = 797,184,814.20

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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.