Finding the Fourth Proportional to 194,070,921,714.19, 267,831,730,696.24 and 107,261,623,963.30
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Solution
The fourth proportional to 194,070,921,714.19, 267,831,730,696.24 and 107,261,623,963.30 is: 148,028,700,691.64
Step by Step Solution
- Step 1: Write the proportion equation
194,070,921,714.19 : 267,831,730,696.24 = 107,261,623,963.30 : x - Step 2: Convert to fraction form
194,070,921,714.19/267,831,730,696.24 = 107,261,623,963.30/x - Step 3: Cross multiply
194,070,921,714.19x = 267,831,730,696.24 × 107,261,623,963.30 - Step 4: Simplify right side
194,070,921,714.19x = 28,728,066,383,379,928,449,024 - Step 5: Solve for x
x = 28,728,066,383,379,928,449,024/194,070,921,714.19 - Step 6: Final answer
x = 148,028,700,691.64
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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.