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Finding the Fourth Proportional to 506,807,724.52, 699,394,659.78 and 275,020,716.52

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Solution

The fourth proportional to 506,807,724.52, 699,394,659.78 and 275,020,716.52 is: 379,528,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,807,724.52 : 699,394,659.78 = 275,020,716.52 : x
  2. Step 2: Convert to fraction form
    506,807,724.52/699,394,659.78 = 275,020,716.52/x
  3. Step 3: Cross multiply
    506,807,724.52x = 699,394,659.78 × 275,020,716.52
  4. Step 4: Simplify right side
    506,807,724.52x = 192,348,020,462,957,216
  5. Step 5: Solve for x
    x = 192,348,020,462,957,216/506,807,724.52
  6. Step 6: Final answer
    x = 379,528,588.77

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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.