Finding the Fourth Proportional to 1,566,672,779,311.90, 2,351,082,620,128.70 and 546,790,313,233.18
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Solution
The fourth proportional to 1,566,672,779,311.90, 2,351,082,620,128.70 and 546,790,313,233.18 is: 820,560,119,045.34
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,311.90 : 2,351,082,620,128.70 = 546,790,313,233.18 : x - Step 2: Convert to fraction form
1,566,672,779,311.90/2,351,082,620,128.70 = 546,790,313,233.18/x - Step 3: Cross multiply
1,566,672,779,311.90x = 2,351,082,620,128.70 × 546,790,313,233.18 - Step 4: Simplify right side
1,566,672,779,311.90x = 1,285,549,202,297,257,518,432,256 - Step 5: Solve for x
x = 1,285,549,202,297,257,518,432,256/1,566,672,779,311.90 - Step 6: Final answer
x = 820,560,119,045.34
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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.