Finding the Fourth Proportional to 1,566,672,779,126.90, 2,351,082,619,851.60 and 546,790,313,047.94
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Solution
The fourth proportional to 1,566,672,779,126.90, 2,351,082,619,851.60 and 546,790,313,047.94 is: 820,560,118,767.53
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,126.90 : 2,351,082,619,851.60 = 546,790,313,047.94 : x - Step 2: Convert to fraction form
1,566,672,779,126.90/2,351,082,619,851.60 = 546,790,313,047.94/x - Step 3: Cross multiply
1,566,672,779,126.90x = 2,351,082,619,851.60 × 546,790,313,047.94 - Step 4: Simplify right side
1,566,672,779,126.90x = 1,285,549,201,710,227,293,995,008 - Step 5: Solve for x
x = 1,285,549,201,710,227,293,995,008/1,566,672,779,126.90 - Step 6: Final answer
x = 820,560,118,767.53
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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.