Finding the Fourth Proportional to 16,110,105,900,879, 22,236,082,614,916 and 10,492,631,052,519
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Solution
The fourth proportional to 16,110,105,900,879, 22,236,082,614,916 and 10,492,631,052,519 is: 14,482,524,967,071.47
Step by Step Solution
- Step 1: Write the proportion equation
16,110,105,900,879 : 22,236,082,614,916 = 10,492,631,052,519 : x - Step 2: Convert to fraction form
16,110,105,900,879/22,236,082,614,916 = 10,492,631,052,519/x - Step 3: Cross multiply
16,110,105,900,879x = 22,236,082,614,916 × 10,492,631,052,519 - Step 4: Simplify right side
16,110,105,900,879x = 233,315,010,931,645,523,926,450,176 - Step 5: Solve for x
x = 233,315,010,931,645,523,926,450,176/16,110,105,900,879 - Step 6: Final answer
x = 14,482,524,967,071.47
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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.