Finding the Fourth Proportional to 1,566,672,779,214.90, 2,351,082,619,982.90 and 546,790,313,135.75
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Solution
The fourth proportional to 1,566,672,779,214.90, 2,351,082,619,982.90 and 546,790,313,135.75 is: 820,560,118,899.04
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,214.90 : 2,351,082,619,982.90 = 546,790,313,135.75 : x - Step 2: Convert to fraction form
1,566,672,779,214.90/2,351,082,619,982.90 = 546,790,313,135.75/x - Step 3: Cross multiply
1,566,672,779,214.90x = 2,351,082,619,982.90 × 546,790,313,135.75 - Step 4: Simplify right side
1,566,672,779,214.90x = 1,285,549,201,988,469,234,073,600 - Step 5: Solve for x
x = 1,285,549,201,988,469,234,073,600/1,566,672,779,214.90 - Step 6: Final answer
x = 820,560,118,899.04
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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.