Finding the Fourth Proportional to 424,245,920,783.73, 586,225,198,414.68 and 302,098,593,919.72
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Solution
The fourth proportional to 424,245,920,783.73, 586,225,198,414.68 and 302,098,593,919.72 is: 417,441,393,035.02
Step by Step Solution
- Step 1: Write the proportion equation
424,245,920,783.73 : 586,225,198,414.68 = 302,098,593,919.72 : x - Step 2: Convert to fraction form
424,245,920,783.73/586,225,198,414.68 = 302,098,593,919.72/x - Step 3: Cross multiply
424,245,920,783.73x = 586,225,198,414.68 × 302,098,593,919.72 - Step 4: Simplify right side
424,245,920,783.73x = 177,097,808,161,383,697,612,800 - Step 5: Solve for x
x = 177,097,808,161,383,697,612,800/424,245,920,783.73 - Step 6: Final answer
x = 417,441,393,035.02
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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.