Finding the Fourth Proportional to 1,566,672,779,311.40, 2,351,082,620,128.30 and 546,790,313,232.68
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Solution
The fourth proportional to 1,566,672,779,311.40, 2,351,082,620,128.30 and 546,790,313,232.68 is: 820,560,119,044.71
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,311.40 : 2,351,082,620,128.30 = 546,790,313,232.68 : x - Step 2: Convert to fraction form
1,566,672,779,311.40/2,351,082,620,128.30 = 546,790,313,232.68/x - Step 3: Cross multiply
1,566,672,779,311.40x = 2,351,082,620,128.30 × 546,790,313,232.68 - Step 4: Simplify right side
1,566,672,779,311.40x = 1,285,549,202,295,862,996,238,336 - Step 5: Solve for x
x = 1,285,549,202,295,862,996,238,336/1,566,672,779,311.40 - Step 6: Final answer
x = 820,560,119,044.71
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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.