Finding the Fourth Proportional to 29,512,295,468,440, 40,728,247,968,554 and 16,343,286,786,832
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Solution
The fourth proportional to 29,512,295,468,440, 40,728,247,968,554 and 16,343,286,786,832 is: 22,554,444,725,829.75
Step by Step Solution
- Step 1: Write the proportion equation
29,512,295,468,440 : 40,728,247,968,554 = 16,343,286,786,832 : x - Step 2: Convert to fraction form
29,512,295,468,440/40,728,247,968,554 = 16,343,286,786,832/x - Step 3: Cross multiply
29,512,295,468,440x = 40,728,247,968,554 × 16,343,286,786,832 - Step 4: Simplify right side
29,512,295,468,440x = 665,633,436,875,285,868,805,357,568 - Step 5: Solve for x
x = 665,633,436,875,285,868,805,357,568/29,512,295,468,440 - Step 6: Final answer
x = 22,554,444,725,829.75
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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.