Finding the Fourth Proportional to 1,566,672,793,253.20, 2,351,082,641,011.60 and 546,790,327,173.75
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Solution
The fourth proportional to 1,566,672,793,253.20, 2,351,082,641,011.60 and 546,790,327,173.75 is: 820,560,139,952.27
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,793,253.20 : 2,351,082,641,011.60 = 546,790,327,173.75 : x - Step 2: Convert to fraction form
1,566,672,793,253.20/2,351,082,641,011.60 = 546,790,327,173.75/x - Step 3: Cross multiply
1,566,672,793,253.20x = 2,351,082,641,011.60 × 546,790,327,173.75 - Step 4: Simplify right side
1,566,672,793,253.20x = 1,285,549,246,491,257,129,140,224 - Step 5: Solve for x
x = 1,285,549,246,491,257,129,140,224/1,566,672,793,253.20 - Step 6: Final answer
x = 820,560,139,952.27
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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.