Finding the Fourth Proportional to 14,213,368,322,401, 19,614,448,284,916 and 8,130,350,084,449
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Solution
The fourth proportional to 14,213,368,322,401, 19,614,448,284,916 and 8,130,350,084,449 is: 11,219,883,116,541.12
Step by Step Solution
- Step 1: Write the proportion equation
14,213,368,322,401 : 19,614,448,284,916 = 8,130,350,084,449 : x - Step 2: Convert to fraction form
14,213,368,322,401/19,614,448,284,916 = 8,130,350,084,449/x - Step 3: Cross multiply
14,213,368,322,401x = 19,614,448,284,916 × 8,130,350,084,449 - Step 4: Simplify right side
14,213,368,322,401x = 159,472,331,269,687,340,647,317,504 - Step 5: Solve for x
x = 159,472,331,269,687,340,647,317,504/14,213,368,322,401 - Step 6: Final answer
x = 11,219,883,116,541.12
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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.