Finding the Fourth Proportional to 5,342,601,528,365, 7,372,385,491,725.40 and 2,998,348,159,496.80
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Solution
The fourth proportional to 5,342,601,528,365, 7,372,385,491,725.40 and 2,998,348,159,496.80 is: 4,137,493,382,737.94
Step by Step Solution
- Step 1: Write the proportion equation
5,342,601,528,365 : 7,372,385,491,725.40 = 2,998,348,159,496.80 : x - Step 2: Convert to fraction form
5,342,601,528,365/7,372,385,491,725.40 = 2,998,348,159,496.80/x - Step 3: Cross multiply
5,342,601,528,365x = 7,372,385,491,725.40 × 2,998,348,159,496.80 - Step 4: Simplify right side
5,342,601,528,365x = 22,104,978,470,215,765,073,068,032 - Step 5: Solve for x
x = 22,104,978,470,215,765,073,068,032/5,342,601,528,365 - Step 6: Final answer
x = 4,137,493,382,737.94
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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.