Finding the Fourth Proportional to 757,392,121,912.18, 1,045,201,691,746.40 and 410,165,096,175.44
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Solution
The fourth proportional to 757,392,121,912.18, 1,045,201,691,746.40 and 410,165,096,175.44 is: 566,028,137,889.19
Step by Step Solution
- Step 1: Write the proportion equation
757,392,121,912.18 : 1,045,201,691,746.40 = 410,165,096,175.44 : x - Step 2: Convert to fraction form
757,392,121,912.18/1,045,201,691,746.40 = 410,165,096,175.44/x - Step 3: Cross multiply
757,392,121,912.18x = 1,045,201,691,746.40 × 410,165,096,175.44 - Step 4: Simplify right side
757,392,121,912.18x = 428,705,252,417,894,793,347,072 - Step 5: Solve for x
x = 428,705,252,417,894,793,347,072/757,392,121,912.18 - Step 6: Final answer
x = 566,028,137,889.19
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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.