Finding the Fourth Proportional to 1,566,672,779,217.90, 2,351,082,619,988.10 and 546,790,313,138.75
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Solution
The fourth proportional to 1,566,672,779,217.90, 2,351,082,619,988.10 and 546,790,313,138.75 is: 820,560,118,903.79
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,779,217.90 : 2,351,082,619,988.10 = 546,790,313,138.75 : x - Step 2: Convert to fraction form
1,566,672,779,217.90/2,351,082,619,988.10 = 546,790,313,138.75/x - Step 3: Cross multiply
1,566,672,779,217.90x = 2,351,082,619,988.10 × 546,790,313,138.75 - Step 4: Simplify right side
1,566,672,779,217.90x = 1,285,549,201,998,365,912,465,408 - Step 5: Solve for x
x = 1,285,549,201,998,365,912,465,408/1,566,672,779,217.90 - Step 6: Final answer
x = 820,560,118,903.79
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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.