Finding the Fourth Proportional to 8,157,296,244,622, 11,262,150,072,310 and 5,192,596,993,217
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Solution
The fourth proportional to 8,157,296,244,622, 11,262,150,072,310 and 5,192,596,993,217 is: 7,169,018,366,985.32
Step by Step Solution
- Step 1: Write the proportion equation
8,157,296,244,622 : 11,262,150,072,310 = 5,192,596,993,217 : x - Step 2: Convert to fraction form
8,157,296,244,622/11,262,150,072,310 = 5,192,596,993,217/x - Step 3: Cross multiply
8,157,296,244,622x = 11,262,150,072,310 × 5,192,596,993,217 - Step 4: Simplify right side
8,157,296,244,622x = 58,479,806,602,635,524,045,799,424 - Step 5: Solve for x
x = 58,479,806,602,635,524,045,799,424/8,157,296,244,622 - Step 6: Final answer
x = 7,169,018,366,985.32
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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.