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Finding the Fourth Proportional to 770,728,754.67, 1,063,606,707.74 and 418,304,745.38

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Solution

The fourth proportional to 770,728,754.67, 1,063,606,707.74 and 418,304,745.38 is: 577,261,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,728,754.67 : 1,063,606,707.74 = 418,304,745.38 : x
  2. Step 2: Convert to fraction form
    770,728,754.67/1,063,606,707.74 = 418,304,745.38/x
  3. Step 3: Cross multiply
    770,728,754.67x = 1,063,606,707.74 × 418,304,745.38
  4. Step 4: Simplify right side
    770,728,754.67x = 444,911,733,058,231,232
  5. Step 5: Solve for x
    x = 444,911,733,058,231,232/770,728,754.67
  6. Step 6: Final answer
    x = 577,261,105.63

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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.