Finding the Fourth Proportional to 431,846,324,308.26, 595,660,972,422.90 and 277,716,863,325.94
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Solution
The fourth proportional to 431,846,324,308.26, 595,660,972,422.90 and 277,716,863,325.94 is: 383,064,732,881.42
Step by Step Solution
- Step 1: Write the proportion equation
431,846,324,308.26 : 595,660,972,422.90 = 277,716,863,325.94 : x - Step 2: Convert to fraction form
431,846,324,308.26/595,660,972,422.90 = 277,716,863,325.94/x - Step 3: Cross multiply
431,846,324,308.26x = 595,660,972,422.90 × 277,716,863,325.94 - Step 4: Simplify right side
431,846,324,308.26x = 165,425,096,866,967,056,285,696 - Step 5: Solve for x
x = 165,425,096,866,967,056,285,696/431,846,324,308.26 - Step 6: Final answer
x = 383,064,732,881.42
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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.