Finding the Fourth Proportional to 32,207,737,172,576, 48,311,786,366,136 and 10,743,033,473,842
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Solution
The fourth proportional to 32,207,737,172,576, 48,311,786,366,136 and 10,743,033,473,842 is: 16,114,610,453,119
Step by Step Solution
- Step 1: Write the proportion equation
32,207,737,172,576 : 48,311,786,366,136 = 10,743,033,473,842 : x - Step 2: Convert to fraction form
32,207,737,172,576/48,311,786,366,136 = 10,743,033,473,842/x - Step 3: Cross multiply
32,207,737,172,576x = 48,311,786,366,136 × 10,743,033,473,842 - Step 4: Simplify right side
32,207,737,172,576x = 519,015,138,112,502,572,290,932,736 - Step 5: Solve for x
x = 519,015,138,112,502,572,290,932,736/32,207,737,172,576 - Step 6: Final answer
x = 16,114,610,453,119
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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.