Finding the Fourth Proportional to 13,366,646,568,008, 20,049,969,852,010 and 13,366,646,568,008
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Solution
The fourth proportional to 13,366,646,568,008, 20,049,969,852,010 and 13,366,646,568,008 is: 20,049,969,852,010
Step by Step Solution
- Step 1: Write the proportion equation
13,366,646,568,008 : 20,049,969,852,010 = 13,366,646,568,008 : x - Step 2: Convert to fraction form
13,366,646,568,008/20,049,969,852,010 = 13,366,646,568,008/x - Step 3: Cross multiply
13,366,646,568,008x = 20,049,969,852,010 × 13,366,646,568,008 - Step 4: Simplify right side
13,366,646,568,008x = 268,000,860,711,033,335,334,305,792 - Step 5: Solve for x
x = 268,000,860,711,033,335,334,305,792/13,366,646,568,008 - Step 6: Final answer
x = 20,049,969,852,010
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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.