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Finding the Fourth Proportional to 523,952,854.99, 723,057,187.80 and 285,803,229.27

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Solution

The fourth proportional to 523,952,854.99, 723,057,187.80 and 285,803,229.27 is: 394,409,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,952,854.99 : 723,057,187.80 = 285,803,229.27 : x
  2. Step 2: Convert to fraction form
    523,952,854.99/723,057,187.80 = 285,803,229.27/x
  3. Step 3: Cross multiply
    523,952,854.99x = 723,057,187.80 × 285,803,229.27
  4. Step 4: Simplify right side
    523,952,854.99x = 206,652,079,220,124,832
  5. Step 5: Solve for x
    x = 206,652,079,220,124,832/523,952,854.99
  6. Step 6: Final answer
    x = 394,409,682.57

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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.