Finding the Fourth Proportional to 13,366,646,568,029, 20,049,969,852,042 and 13,366,646,568,029
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Solution
The fourth proportional to 13,366,646,568,029, 20,049,969,852,042 and 13,366,646,568,029 is: 20,049,969,852,042
Step by Step Solution
- Step 1: Write the proportion equation
13,366,646,568,029 : 20,049,969,852,042 = 13,366,646,568,029 : x - Step 2: Convert to fraction form
13,366,646,568,029/20,049,969,852,042 = 13,366,646,568,029/x - Step 3: Cross multiply
13,366,646,568,029x = 20,049,969,852,042 × 13,366,646,568,029 - Step 4: Simplify right side
13,366,646,568,029x = 268,000,860,711,882,123,951,210,496 - Step 5: Solve for x
x = 268,000,860,711,882,123,951,210,496/13,366,646,568,029 - Step 6: Final answer
x = 20,049,969,852,042
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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.