Finding the Fourth Proportional to 1,566,672,793,264.10, 2,351,082,641,027.40 and 546,790,327,184.56
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Solution
The fourth proportional to 1,566,672,793,264.10, 2,351,082,641,027.40 and 546,790,327,184.56 is: 820,560,139,968.30
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,793,264.10 : 2,351,082,641,027.40 = 546,790,327,184.56 : x - Step 2: Convert to fraction form
1,566,672,793,264.10/2,351,082,641,027.40 = 546,790,327,184.56/x - Step 3: Cross multiply
1,566,672,793,264.10x = 2,351,082,641,027.40 × 546,790,327,184.56 - Step 4: Simplify right side
1,566,672,793,264.10x = 1,285,549,246,525,311,387,959,296 - Step 5: Solve for x
x = 1,285,549,246,525,311,387,959,296/1,566,672,793,264.10 - Step 6: Final answer
x = 820,560,139,968.30
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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.