Finding the Fourth Proportional to 234,517,488,213.16, 323,616,372,750.10 and 131,614,734,024.18
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Solution
The fourth proportional to 234,517,488,213.16, 323,616,372,750.10 and 131,614,734,024.18 is: 181,618,365,222.56
Step by Step Solution
- Step 1: Write the proportion equation
234,517,488,213.16 : 323,616,372,750.10 = 131,614,734,024.18 : x - Step 2: Convert to fraction form
234,517,488,213.16/323,616,372,750.10 = 131,614,734,024.18/x - Step 3: Cross multiply
234,517,488,213.16x = 323,616,372,750.10 × 131,614,734,024.18 - Step 4: Simplify right side
234,517,488,213.16x = 42,592,682,825,374,295,392,256 - Step 5: Solve for x
x = 42,592,682,825,374,295,392,256/234,517,488,213.16 - Step 6: Final answer
x = 181,618,365,222.56
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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.