Finding the Fourth Proportional to 21,600,849,932,062, 29,809,194,967,724 and 11,724,095,457,121
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Solution
The fourth proportional to 21,600,849,932,062, 29,809,194,967,724 and 11,724,095,457,121 is: 16,179,263,704,933.55
Step by Step Solution
- Step 1: Write the proportion equation
21,600,849,932,062 : 29,809,194,967,724 = 11,724,095,457,121 : x - Step 2: Convert to fraction form
21,600,849,932,062/29,809,194,967,724 = 11,724,095,457,121/x - Step 3: Cross multiply
21,600,849,932,062x = 29,809,194,967,724 × 11,724,095,457,121 - Step 4: Simplify right side
21,600,849,932,062x = 349,485,847,301,527,139,264,757,760 - Step 5: Solve for x
x = 349,485,847,301,527,139,264,757,760/21,600,849,932,062 - Step 6: Final answer
x = 16,179,263,704,933.55
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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.