Finding the Fourth Proportional to 24,376,966,425,380, 33,640,219,158,040 and 13,415,170,040,710
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Solution
The fourth proportional to 24,376,966,425,380, 33,640,219,158,040 and 13,415,170,040,710 is: 18,512,937,678,004.04
Step by Step Solution
- Step 1: Write the proportion equation
24,376,966,425,380 : 33,640,219,158,040 = 13,415,170,040,710 : x - Step 2: Convert to fraction form
24,376,966,425,380/33,640,219,158,040 = 13,415,170,040,710/x - Step 3: Cross multiply
24,376,966,425,380x = 33,640,219,158,040 × 13,415,170,040,710 - Step 4: Simplify right side
24,376,966,425,380x = 451,289,260,211,856,816,870,522,880 - Step 5: Solve for x
x = 451,289,260,211,856,816,870,522,880/24,376,966,425,380 - Step 6: Final answer
x = 18,512,937,678,004.04
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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.