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Finding the Fourth Proportional to 667,057,674.94, 920,002,836.65 and 586,417,245.48

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Solution

The fourth proportional to 667,057,674.94, 920,002,836.65 and 586,417,245.48 is: 808,783,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,057,674.94 : 920,002,836.65 = 586,417,245.48 : x
  2. Step 2: Convert to fraction form
    667,057,674.94/920,002,836.65 = 586,417,245.48/x
  3. Step 3: Cross multiply
    667,057,674.94x = 920,002,836.65 × 586,417,245.48
  4. Step 4: Simplify right side
    667,057,674.94x = 539,505,529,299,147,328
  5. Step 5: Solve for x
    x = 539,505,529,299,147,328/667,057,674.94
  6. Step 6: Final answer
    x = 808,783,932.14

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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.