Finding the Fourth Proportional to 32,754,446,964,648, 45,202,557,675,838 and 18,138,718,451,756
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Solution
The fourth proportional to 32,754,446,964,648, 45,202,557,675,838 and 18,138,718,451,756 is: 25,032,218,308,134.66
Step by Step Solution
- Step 1: Write the proportion equation
32,754,446,964,648 : 45,202,557,675,838 = 18,138,718,451,756 : x - Step 2: Convert to fraction form
32,754,446,964,648/45,202,557,675,838 = 18,138,718,451,756/x - Step 3: Cross multiply
32,754,446,964,648x = 45,202,557,675,838 × 18,138,718,451,756 - Step 4: Simplify right side
32,754,446,964,648x = 819,916,466,981,287,596,241,453,056 - Step 5: Solve for x
x = 819,916,466,981,287,596,241,453,056/32,754,446,964,648 - Step 6: Final answer
x = 25,032,218,308,134.66
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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.