Finding the Fourth Proportional to 297,131,466.62, 410,054,230.42 and 164,972,469.63
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Solution
The fourth proportional to 297,131,466.62, 410,054,230.42 and 164,972,469.63 is: 227,669,118.47
Step by Step Solution
- Step 1: Write the proportion equation
297,131,466.62 : 410,054,230.42 = 164,972,469.63 : x - Step 2: Convert to fraction form
297,131,466.62/410,054,230.42 = 164,972,469.63/x - Step 3: Cross multiply
297,131,466.62x = 410,054,230.42 × 164,972,469.63 - Step 4: Simplify right side
297,131,466.62x = 67,647,659,074,616,472 - Step 5: Solve for x
x = 67,647,659,074,616,472/297,131,466.62 - Step 6: Final answer
x = 227,669,118.47
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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.