Finding the Fourth Proportional to 932,960,136,747.48, 1,399,440,205,121.20 and 262,189,987,605.12
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Solution
The fourth proportional to 932,960,136,747.48, 1,399,440,205,121.20 and 262,189,987,605.12 is: 393,284,981,407.67
Step by Step Solution
- Step 1: Write the proportion equation
932,960,136,747.48 : 1,399,440,205,121.20 = 262,189,987,605.12 : x - Step 2: Convert to fraction form
932,960,136,747.48/1,399,440,205,121.20 = 262,189,987,605.12/x - Step 3: Cross multiply
932,960,136,747.48x = 1,399,440,205,121.20 × 262,189,987,605.12 - Step 4: Simplify right side
932,960,136,747.48x = 366,919,210,034,834,003,984,384 - Step 5: Solve for x
x = 366,919,210,034,834,003,984,384/932,960,136,747.48 - Step 6: Final answer
x = 393,284,981,407.67
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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.