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Finding the Fourth Proportional to 414,282,307.88, 621,505,324.42 and 151,969,294.21

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Solution

The fourth proportional to 414,282,307.88, 621,505,324.42 and 151,969,294.21 is: 227,983,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,282,307.88 : 621,505,324.42 = 151,969,294.21 : x
  2. Step 2: Convert to fraction form
    414,282,307.88/621,505,324.42 = 151,969,294.21/x
  3. Step 3: Cross multiply
    414,282,307.88x = 621,505,324.42 × 151,969,294.21
  4. Step 4: Simplify right side
    414,282,307.88x = 94,449,725,499,864,480
  5. Step 5: Solve for x
    x = 94,449,725,499,864,480/414,282,307.88
  6. Step 6: Final answer
    x = 227,983,970.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.