Finding the Fourth Proportional to 8,192,131,103.84, 11,305,160,574.82 and 4,432,982,009.36
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Solution
The fourth proportional to 8,192,131,103.84, 11,305,160,574.82 and 4,432,982,009.36 is: 6,117,525,806.88
Step by Step Solution
- Step 1: Write the proportion equation
8,192,131,103.84 : 11,305,160,574.82 = 4,432,982,009.36 : x - Step 2: Convert to fraction form
8,192,131,103.84/11,305,160,574.82 = 4,432,982,009.36/x - Step 3: Cross multiply
8,192,131,103.84x = 11,305,160,574.82 × 4,432,982,009.36 - Step 4: Simplify right side
8,192,131,103.84x = 50,115,573,441,103,011,840 - Step 5: Solve for x
x = 50,115,573,441,103,011,840/8,192,131,103.84 - Step 6: Final answer
x = 6,117,525,806.88
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1.5x scale
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.