Finding the Fourth Proportional to 1,566,672,779,324.10, 2,351,082,620,147.10 and 546,790,313,245.43
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Solution
The fourth proportional to 1,566,672,779,324.10, 2,351,082,620,147.10 and 546,790,313,245.43 is: 820,560,119,063.75
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,324.10 : 2,351,082,620,147.10 = 546,790,313,245.43 : x - Step 2: Convert to fraction form
1,566,672,779,324.10/2,351,082,620,147.10 = 546,790,313,245.43/x - Step 3: Cross multiply
1,566,672,779,324.10x = 2,351,082,620,147.10 × 546,790,313,245.43 - Step 4: Simplify right side
1,566,672,779,324.10x = 1,285,549,202,336,119,187,832,832 - Step 5: Solve for x
x = 1,285,549,202,336,119,187,832,832/1,566,672,779,324.10 - Step 6: Final answer
x = 820,560,119,063.75
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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.