Finding the Fourth Proportional to 1,566,672,779,229.90, 2,351,082,620,005.80 and 546,790,313,151.19
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Solution
The fourth proportional to 1,566,672,779,229.90, 2,351,082,620,005.80 and 546,790,313,151.19 is: 820,560,118,922.35
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,229.90 : 2,351,082,620,005.80 = 546,790,313,151.19 : x - Step 2: Convert to fraction form
1,566,672,779,229.90/2,351,082,620,005.80 = 546,790,313,151.19/x - Step 3: Cross multiply
1,566,672,779,229.90x = 2,351,082,620,005.80 × 546,790,313,151.19 - Step 4: Simplify right side
1,566,672,779,229.90x = 1,285,549,202,037,291,469,504,512 - Step 5: Solve for x
x = 1,285,549,202,037,291,469,504,512/1,566,672,779,229.90 - Step 6: Final answer
x = 820,560,118,922.35
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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.