Finding the Fourth Proportional to 1,566,672,779,208.70, 2,351,082,619,974.20 and 546,790,313,129.74
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Solution
The fourth proportional to 1,566,672,779,208.70, 2,351,082,619,974.20 and 546,790,313,129.74 is: 820,560,118,890.23
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,208.70 : 2,351,082,619,974.20 = 546,790,313,129.74 : x - Step 2: Convert to fraction form
1,566,672,779,208.70/2,351,082,619,974.20 = 546,790,313,129.74/x - Step 3: Cross multiply
1,566,672,779,208.70x = 2,351,082,619,974.20 × 546,790,313,129.74 - Step 4: Simplify right side
1,566,672,779,208.70x = 1,285,549,201,969,582,383,824,896 - Step 5: Solve for x
x = 1,285,549,201,969,582,383,824,896/1,566,672,779,208.70 - Step 6: Final answer
x = 820,560,118,890.23
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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.