Finding the Fourth Proportional to 11,622,639,268,898, 16,039,729,466,576 and 6,684,264,869,013
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Solution
The fourth proportional to 11,622,639,268,898, 16,039,729,466,576 and 6,684,264,869,013 is: 9,224,565,754,940.79
Step by Step Solution
- Step 1: Write the proportion equation
11,622,639,268,898 : 16,039,729,466,576 = 6,684,264,869,013 : x - Step 2: Convert to fraction form
11,622,639,268,898/16,039,729,466,576 = 6,684,264,869,013/x - Step 3: Cross multiply
11,622,639,268,898x = 16,039,729,466,576 × 6,684,264,869,013 - Step 4: Simplify right side
11,622,639,268,898x = 107,213,800,181,906,589,767,172,096 - Step 5: Solve for x
x = 107,213,800,181,906,589,767,172,096/11,622,639,268,898 - Step 6: Final answer
x = 9,224,565,754,940.79
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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.