Finding the Fourth Proportional to 29,512,295,468,406, 40,728,247,968,507 and 16,343,286,786,800
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Solution
The fourth proportional to 29,512,295,468,406, 40,728,247,968,507 and 16,343,286,786,800 is: 22,554,444,725,785.55
Step by Step Solution
- Step 1: Write the proportion equation
29,512,295,468,406 : 40,728,247,968,507 = 16,343,286,786,800 : x - Step 2: Convert to fraction form
29,512,295,468,406/40,728,247,968,507 = 16,343,286,786,800/x - Step 3: Cross multiply
29,512,295,468,406x = 40,728,247,968,507 × 16,343,286,786,800 - Step 4: Simplify right side
29,512,295,468,406x = 665,633,436,873,214,388,898,627,584 - Step 5: Solve for x
x = 665,633,436,873,214,388,898,627,584/29,512,295,468,406 - Step 6: Final answer
x = 22,554,444,725,785.55
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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.