Finding the Fourth Proportional to 16,110,105,900,873, 22,236,082,614,904 and 10,492,631,052,512
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Solution
The fourth proportional to 16,110,105,900,873, 22,236,082,614,904 and 10,492,631,052,512 is: 14,482,524,967,059.38
Step by Step Solution
- Step 1: Write the proportion equation
16,110,105,900,873 : 22,236,082,614,904 = 10,492,631,052,512 : x - Step 2: Convert to fraction form
16,110,105,900,873/22,236,082,614,904 = 10,492,631,052,512/x - Step 3: Cross multiply
16,110,105,900,873x = 22,236,082,614,904 × 10,492,631,052,512 - Step 4: Simplify right side
16,110,105,900,873x = 233,315,010,931,363,945,870,524,416 - Step 5: Solve for x
x = 233,315,010,931,363,945,870,524,416/16,110,105,900,873 - Step 6: Final answer
x = 14,482,524,967,059.38
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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.