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Finding the Fourth Proportional to 523,439,732.96, 722,375,238.32 and 300,419,631.60

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Solution

The fourth proportional to 523,439,732.96, 722,375,238.32 and 300,419,631.60 is: 414,595,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,439,732.96 : 722,375,238.32 = 300,419,631.60 : x
  2. Step 2: Convert to fraction form
    523,439,732.96/722,375,238.32 = 300,419,631.60/x
  3. Step 3: Cross multiply
    523,439,732.96x = 722,375,238.32 × 300,419,631.60
  4. Step 4: Simplify right side
    523,439,732.96x = 217,015,702,973,056,640
  5. Step 5: Solve for x
    x = 217,015,702,973,056,640/523,439,732.96
  6. Step 6: Final answer
    x = 414,595,395.24

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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.