Finding the Fourth Proportional to 32,754,446,965,530, 45,202,557,677,058 and 18,138,718,452,638
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Solution
The fourth proportional to 32,754,446,965,530, 45,202,557,677,058 and 18,138,718,452,638 is: 25,032,218,309,353.41
Step by Step Solution
- Step 1: Write the proportion equation
32,754,446,965,530 : 45,202,557,677,058 = 18,138,718,452,638 : x - Step 2: Convert to fraction form
32,754,446,965,530/45,202,557,677,058 = 18,138,718,452,638/x - Step 3: Cross multiply
32,754,446,965,530x = 45,202,557,677,058 × 18,138,718,452,638 - Step 4: Simplify right side
32,754,446,965,530x = 819,916,467,043,285,483,518,951,424 - Step 5: Solve for x
x = 819,916,467,043,285,483,518,951,424/32,754,446,965,530 - Step 6: Final answer
x = 25,032,218,309,353.41
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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.