Finding the Fourth Proportional to 1,494,339,405,697.60, 2,062,190,368,540.20 and 809,228,313,198.56
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Solution
The fourth proportional to 1,494,339,405,697.60, 2,062,190,368,540.20 and 809,228,313,198.56 is: 1,116,736,149,140.81
Step by Step Solution
- Step 1: Write the proportion equation
1,494,339,405,697.60 : 2,062,190,368,540.20 = 809,228,313,198.56 : x - Step 2: Convert to fraction form
1,494,339,405,697.60/2,062,190,368,540.20 = 809,228,313,198.56/x - Step 3: Cross multiply
1,494,339,405,697.60x = 2,062,190,368,540.20 × 809,228,313,198.56 - Step 4: Simplify right side
1,494,339,405,697.60x = 1,668,782,833,428,102,880,690,176 - Step 5: Solve for x
x = 1,668,782,833,428,102,880,690,176/1,494,339,405,697.60 - Step 6: Final answer
x = 1,116,736,149,140.81
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.