Finding the Fourth Proportional to 1,566,672,793,278.20, 2,351,082,641,049.10 and 546,790,327,198.75
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Solution
The fourth proportional to 1,566,672,793,278.20, 2,351,082,641,049.10 and 546,790,327,198.75 is: 820,560,139,989.78
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,793,278.20 : 2,351,082,641,049.10 = 546,790,327,198.75 : x - Step 2: Convert to fraction form
1,566,672,793,278.20/2,351,082,641,049.10 = 546,790,327,198.75/x - Step 3: Cross multiply
1,566,672,793,278.20x = 2,351,082,641,049.10 × 546,790,327,198.75 - Step 4: Simplify right side
1,566,672,793,278.20x = 1,285,549,246,570,538,735,763,456 - Step 5: Solve for x
x = 1,285,549,246,570,538,735,763,456/1,566,672,793,278.20 - Step 6: Final answer
x = 820,560,139,989.78
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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.