Finding the Fourth Proportional to 1,566,672,793,239.60, 2,351,082,640,991.10 and 546,790,327,160.20
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Solution
The fourth proportional to 1,566,672,793,239.60, 2,351,082,640,991.10 and 546,790,327,160.20 is: 820,560,139,931.90
Step by Step Solution
- Step 1: Write the proportion equation
1,566,672,793,239.60 : 2,351,082,640,991.10 = 546,790,327,160.20 : x - Step 2: Convert to fraction form
1,566,672,793,239.60/2,351,082,640,991.10 = 546,790,327,160.20/x - Step 3: Cross multiply
1,566,672,793,239.60x = 2,351,082,640,991.10 × 546,790,327,160.20 - Step 4: Simplify right side
1,566,672,793,239.60x = 1,285,549,246,448,190,686,756,864 - Step 5: Solve for x
x = 1,285,549,246,448,190,686,756,864/1,566,672,793,239.60 - Step 6: Final answer
x = 820,560,139,931.90
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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.