Finding the Fourth Proportional to 32,288,876,371,872, 48,433,440,213,492 and 7,811,657,916,669.40
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Solution
The fourth proportional to 32,288,876,371,872, 48,433,440,213,492 and 7,811,657,916,669.40 is: 11,717,517,274,922.87
Step by Step Solution
- Step 1: Write the proportion equation
32,288,876,371,872 : 48,433,440,213,492 = 7,811,657,916,669.40 : x - Step 2: Convert to fraction form
32,288,876,371,872/48,433,440,213,492 = 7,811,657,916,669.40/x - Step 3: Cross multiply
32,288,876,371,872x = 48,433,440,213,492 × 7,811,657,916,669.40 - Step 4: Simplify right side
32,288,876,371,872x = 378,345,466,675,258,883,800,301,568 - Step 5: Solve for x
x = 378,345,466,675,258,883,800,301,568/32,288,876,371,872 - Step 6: Final answer
x = 11,717,517,274,922.87
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.