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Finding the Fourth Proportional to 523,439,718.95, 722,375,218.98 and 300,419,617.57

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Solution

The fourth proportional to 523,439,718.95, 722,375,218.98 and 300,419,617.57 is: 414,595,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,439,718.95 : 722,375,218.98 = 300,419,617.57 : x
  2. Step 2: Convert to fraction form
    523,439,718.95/722,375,218.98 = 300,419,617.57/x
  3. Step 3: Cross multiply
    523,439,718.95x = 722,375,218.98 × 300,419,617.57
  4. Step 4: Simplify right side
    523,439,718.95x = 217,015,687,026,210,656
  5. Step 5: Solve for x
    x = 217,015,687,026,210,656/523,439,718.95
  6. Step 6: Final answer
    x = 414,595,375.87

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