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Finding the Fourth Proportional to 667,057,659.88, 920,002,815.95 and 586,417,230.43

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Solution

The fourth proportional to 667,057,659.88, 920,002,815.95 and 586,417,230.43 is: 808,783,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,057,659.88 : 920,002,815.95 = 586,417,230.43 : x
  2. Step 2: Convert to fraction form
    667,057,659.88/920,002,815.95 = 586,417,230.43/x
  3. Step 3: Cross multiply
    667,057,659.88x = 920,002,815.95 × 586,417,230.43
  4. Step 4: Simplify right side
    667,057,659.88x = 539,505,503,312,600,000
  5. Step 5: Solve for x
    x = 539,505,503,312,600,000/667,057,659.88
  6. Step 6: Final answer
    x = 808,783,911.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.