Finding the Fourth Proportional to 12,784,876,137,072, 19,177,314,205,608 and 12,784,876,137,072
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Solution
The fourth proportional to 12,784,876,137,072, 19,177,314,205,608 and 12,784,876,137,072 is: 19,177,314,205,608
Step by Step Solution
- Step 1: Write the proportion equation
12,784,876,137,072 : 19,177,314,205,608 = 12,784,876,137,072 : x - Step 2: Convert to fraction form
12,784,876,137,072/19,177,314,205,608 = 12,784,876,137,072/x - Step 3: Cross multiply
12,784,876,137,072x = 19,177,314,205,608 × 12,784,876,137,072 - Step 4: Simplify right side
12,784,876,137,072x = 245,179,586,760,409,584,874,029,056 - Step 5: Solve for x
x = 245,179,586,760,409,584,874,029,056/12,784,876,137,072 - Step 6: Final answer
x = 19,177,314,205,608
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.