Finding the Fourth Proportional to 1,566,672,779,278.90, 2,351,082,620,079.20 and 546,790,313,200.18
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Solution
The fourth proportional to 1,566,672,779,278.90, 2,351,082,620,079.20 and 546,790,313,200.18 is: 820,560,118,995.82
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,278.90 : 2,351,082,620,079.20 = 546,790,313,200.18 : x - Step 2: Convert to fraction form
1,566,672,779,278.90/2,351,082,620,079.20 = 546,790,313,200.18/x - Step 3: Cross multiply
1,566,672,779,278.90x = 2,351,082,620,079.20 × 546,790,313,200.18 - Step 4: Simplify right side
1,566,672,779,278.90x = 1,285,549,202,192,605,539,991,552 - Step 5: Solve for x
x = 1,285,549,202,192,605,539,991,552/1,566,672,779,278.90 - Step 6: Final answer
x = 820,560,118,995.82
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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.