Finding the Fourth Proportional to 1,566,672,793,218.70, 2,351,082,640,959.60 and 546,790,327,139.16
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Solution
The fourth proportional to 1,566,672,793,218.70, 2,351,082,640,959.60 and 546,790,327,139.16 is: 820,560,139,900.28
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,793,218.70 : 2,351,082,640,959.60 = 546,790,327,139.16 : x - Step 2: Convert to fraction form
1,566,672,793,218.70/2,351,082,640,959.60 = 546,790,327,139.16/x - Step 3: Cross multiply
1,566,672,793,218.70x = 2,351,082,640,959.60 × 546,790,327,139.16 - Step 4: Simplify right side
1,566,672,793,218.70x = 1,285,549,246,381,500,045,197,312 - Step 5: Solve for x
x = 1,285,549,246,381,500,045,197,312/1,566,672,793,218.70 - Step 6: Final answer
x = 820,560,139,900.28
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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.