Finding the Fourth Proportional to 27,221,942,683,624, 37,566,394,085,912 and 14,721,672,723,611
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Solution
The fourth proportional to 27,221,942,683,624, 37,566,394,085,912 and 14,721,672,723,611 is: 20,315,969,567,876.82
Step by Step Solution
- Step 1: Write the proportion equation
27,221,942,683,624 : 37,566,394,085,912 = 14,721,672,723,611 : x - Step 2: Convert to fraction form
27,221,942,683,624/37,566,394,085,912 = 14,721,672,723,611/x - Step 3: Cross multiply
27,221,942,683,624x = 37,566,394,085,912 × 14,721,672,723,611 - Step 4: Simplify right side
27,221,942,683,624x = 553,040,159,138,992,286,223,826,944 - Step 5: Solve for x
x = 553,040,159,138,992,286,223,826,944/27,221,942,683,624 - Step 6: Final answer
x = 20,315,969,567,876.82
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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.