Finding the Fourth Proportional to 1,566,672,779,319.90, 2,351,082,620,141.30 and 546,790,313,241.20
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Solution
The fourth proportional to 1,566,672,779,319.90, 2,351,082,620,141.30 and 546,790,313,241.20 is: 820,560,119,057.58
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,319.90 : 2,351,082,620,141.30 = 546,790,313,241.20 : x - Step 2: Convert to fraction form
1,566,672,779,319.90/2,351,082,620,141.30 = 546,790,313,241.20/x - Step 3: Cross multiply
1,566,672,779,319.90x = 2,351,082,620,141.30 × 546,790,313,241.20 - Step 4: Simplify right side
1,566,672,779,319.90x = 1,285,549,202,323,002,626,146,304 - Step 5: Solve for x
x = 1,285,549,202,323,002,626,146,304/1,566,672,779,319.90 - Step 6: Final answer
x = 820,560,119,057.58
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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.