Finding the Fourth Proportional to 8,192,131,166.40, 11,305,160,661 and 4,432,982,071.92
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Solution
The fourth proportional to 8,192,131,166.40, 11,305,160,661 and 4,432,982,071.92 is: 6,117,525,893.13
Step by Step Solution
- Step 1: Write the proportion equation
8,192,131,166.40 : 11,305,160,661 = 4,432,982,071.92 : x - Step 2: Convert to fraction form
8,192,131,166.40/11,305,160,661 = 4,432,982,071.92/x - Step 3: Cross multiply
8,192,131,166.40x = 11,305,160,661 × 4,432,982,071.92 - Step 4: Simplify right side
8,192,131,166.40x = 50,115,574,530,388,254,720 - Step 5: Solve for x
x = 50,115,574,530,388,254,720/8,192,131,166.40 - Step 6: Final answer
x = 6,117,525,893.13
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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.