Finding the Fourth Proportional to 32,754,446,964,655, 45,202,557,675,844 and 18,138,718,451,761
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Solution
The fourth proportional to 32,754,446,964,655, 45,202,557,675,844 and 18,138,718,451,761 is: 25,032,218,308,139.54
Step by Step Solution
- Step 1: Write the proportion equation
32,754,446,964,655 : 45,202,557,675,844 = 18,138,718,451,761 : x - Step 2: Convert to fraction form
32,754,446,964,655/45,202,557,675,844 = 18,138,718,451,761/x - Step 3: Cross multiply
32,754,446,964,655x = 45,202,557,675,844 × 18,138,718,451,761 - Step 4: Simplify right side
32,754,446,964,655x = 819,916,466,981,622,397,532,110,848 - Step 5: Solve for x
x = 819,916,466,981,622,397,532,110,848/32,754,446,964,655 - Step 6: Final answer
x = 25,032,218,308,139.54
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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.