Finding the Fourth Proportional to 21,330,446,405,516, 29,435,993,169,794 and 11,586,634,677,663
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Solution
The fourth proportional to 21,330,446,405,516, 29,435,993,169,794 and 11,586,634,677,663 is: 15,989,543,432,358.17
Step by Step Solution
- Step 1: Write the proportion equation
21,330,446,405,516 : 29,435,993,169,794 = 11,586,634,677,663 : x - Step 2: Convert to fraction form
21,330,446,405,516/29,435,993,169,794 = 11,586,634,677,663/x - Step 3: Cross multiply
21,330,446,405,516x = 29,435,993,169,794 × 11,586,634,677,663 - Step 4: Simplify right side
21,330,446,405,516x = 341,064,099,232,586,391,137,288,192 - Step 5: Solve for x
x = 341,064,099,232,586,391,137,288,192/21,330,446,405,516 - Step 6: Final answer
x = 15,989,543,432,358.17
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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.