Finding the Fourth Proportional to 198,281,542,956.21, 273,629,455,904.97 and 112,647,207,688.46
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Solution
The fourth proportional to 198,281,542,956.21, 273,629,455,904.97 and 112,647,207,688.46 is: 155,453,673,042.15
Step by Step Solution
- Step 1: Write the proportion equation
198,281,542,956.21 : 273,629,455,904.97 = 112,647,207,688.46 : x - Step 2: Convert to fraction form
198,281,542,956.21/273,629,455,904.97 = 112,647,207,688.46/x - Step 3: Cross multiply
198,281,542,956.21x = 273,629,455,904.97 × 112,647,207,688.46 - Step 4: Simplify right side
198,281,542,956.21x = 30,823,594,149,007,463,546,880 - Step 5: Solve for x
x = 30,823,594,149,007,463,546,880/198,281,542,956.21 - Step 6: Final answer
x = 155,453,673,042.15
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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.