Finding the Fourth Proportional to 32,288,876,371,896, 48,433,440,213,528 and 7,811,657,916,694.20
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Solution
The fourth proportional to 32,288,876,371,896, 48,433,440,213,528 and 7,811,657,916,694.20 is: 11,717,517,274,960.06
Step by Step Solution
- Step 1: Write the proportion equation
32,288,876,371,896 : 48,433,440,213,528 = 7,811,657,916,694.20 : x - Step 2: Convert to fraction form
32,288,876,371,896/48,433,440,213,528 = 7,811,657,916,694.20/x - Step 3: Cross multiply
32,288,876,371,896x = 48,433,440,213,528 × 7,811,657,916,694.20 - Step 4: Simplify right side
32,288,876,371,896x = 378,345,466,676,741,231,632,973,824 - Step 5: Solve for x
x = 378,345,466,676,741,231,632,973,824/32,288,876,371,896 - Step 6: Final answer
x = 11,717,517,274,960.06
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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.