Finding the Fourth Proportional to 14,213,368,322,400, 19,614,448,284,915 and 8,130,350,084,448
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Solution
The fourth proportional to 14,213,368,322,400, 19,614,448,284,915 and 8,130,350,084,448 is: 11,219,883,116,539.96
Step by Step Solution
- Step 1: Write the proportion equation
14,213,368,322,400 : 19,614,448,284,915 = 8,130,350,084,448 : x - Step 2: Convert to fraction form
14,213,368,322,400/19,614,448,284,915 = 8,130,350,084,448/x - Step 3: Cross multiply
14,213,368,322,400x = 19,614,448,284,915 × 8,130,350,084,448 - Step 4: Simplify right side
14,213,368,322,400x = 159,472,331,269,659,612,338,454,528 - Step 5: Solve for x
x = 159,472,331,269,659,612,338,454,528/14,213,368,322,400 - Step 6: Final answer
x = 11,219,883,116,539.96
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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.