Finding the Fourth Proportional to 3,729,615,198.48, 5,146,842,791.14 and 2,036,069,843.17
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Solution
The fourth proportional to 3,729,615,198.48, 5,146,842,791.14 and 2,036,069,843.17 is: 2,809,762,089.90
Step by Step Solution
- Step 1: Write the proportion equation
3,729,615,198.48 : 5,146,842,791.14 = 2,036,069,843.17 : x - Step 2: Convert to fraction form
3,729,615,198.48/5,146,842,791.14 = 2,036,069,843.17/x - Step 3: Cross multiply
3,729,615,198.48x = 5,146,842,791.14 × 2,036,069,843.17 - Step 4: Simplify right side
3,729,615,198.48x = 10,479,331,394,594,902,016 - Step 5: Solve for x
x = 10,479,331,394,594,902,016/3,729,615,198.48 - Step 6: Final answer
x = 2,809,762,089.90
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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.