Finding the Fourth Proportional to 45,511,468,777,016, 62,795,062,396,988 and 25,757,955,747,296
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Solution
The fourth proportional to 45,511,468,777,016, 62,795,062,396,988 and 25,757,955,747,296 is: 35,539,886,578,812.34
Step by Step Solution
- Step 1: Write the proportion equation
45,511,468,777,016 : 62,795,062,396,988 = 25,757,955,747,296 : x - Step 2: Convert to fraction form
45,511,468,777,016/62,795,062,396,988 = 25,757,955,747,296/x - Step 3: Cross multiply
45,511,468,777,016x = 62,795,062,396,988 × 25,757,955,747,296 - Step 4: Simplify right side
45,511,468,777,016x = 1,617,472,438,370,307,919,291,875,328 - Step 5: Solve for x
x = 1,617,472,438,370,307,919,291,875,328/45,511,468,777,016 - Step 6: Final answer
x = 35,539,886,578,812.34
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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.