Finding the Fourth Proportional to 29,183,968,411,656, 40,275,037,559,592 and 16,015,430,981,720
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Solution
The fourth proportional to 29,183,968,411,656, 40,275,037,559,592 and 16,015,430,981,720 is: 22,101,931,965,640.64
Step by Step Solution
- Step 1: Write the proportion equation
29,183,968,411,656 : 40,275,037,559,592 = 16,015,430,981,720 : x - Step 2: Convert to fraction form
29,183,968,411,656/40,275,037,559,592 = 16,015,430,981,720/x - Step 3: Cross multiply
29,183,968,411,656x = 40,275,037,559,592 × 16,015,430,981,720 - Step 4: Simplify right side
29,183,968,411,656x = 645,022,084,321,826,320,293,036,032 - Step 5: Solve for x
x = 645,022,084,321,826,320,293,036,032/29,183,968,411,656 - Step 6: Final answer
x = 22,101,931,965,640.64
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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.