Finding the Fourth Proportional to 1,566,672,793,219.70, 2,351,082,640,961.10 and 546,790,327,140.16
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Solution
The fourth proportional to 1,566,672,793,219.70, 2,351,082,640,961.10 and 546,790,327,140.16 is: 820,560,139,901.78
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,793,219.70 : 2,351,082,640,961.10 = 546,790,327,140.16 : x - Step 2: Convert to fraction form
1,566,672,793,219.70/2,351,082,640,961.10 = 546,790,327,140.16/x - Step 3: Cross multiply
1,566,672,793,219.70x = 2,351,082,640,961.10 × 546,790,327,140.16 - Step 4: Simplify right side
1,566,672,793,219.70x = 1,285,549,246,384,671,073,239,040 - Step 5: Solve for x
x = 1,285,549,246,384,671,073,239,040/1,566,672,793,219.70 - Step 6: Final answer
x = 820,560,139,901.78
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.