Finding the Fourth Proportional to 334,022,545,962.16, 460,966,292,343.58 and 196,851,161,539.60
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Solution
The fourth proportional to 334,022,545,962.16, 460,966,292,343.58 and 196,851,161,539.60 is: 271,663,548,390.28
Step by Step Solution
- Step 1: Write the proportion equation
334,022,545,962.16 : 460,966,292,343.58 = 196,851,161,539.60 : x - Step 2: Convert to fraction form
334,022,545,962.16/460,966,292,343.58 = 196,851,161,539.60/x - Step 3: Cross multiply
334,022,545,962.16x = 460,966,292,343.58 × 196,851,161,539.60 - Step 4: Simplify right side
334,022,545,962.16x = 90,741,750,078,436,550,901,760 - Step 5: Solve for x
x = 90,741,750,078,436,550,901,760/334,022,545,962.16 - Step 6: Final answer
x = 271,663,548,390.28
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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.