Finding the Fourth Proportional to 271,493,974,198.08, 374,707,275,890.54 and 157,379,977,160.64
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Solution
The fourth proportional to 271,493,974,198.08, 374,707,275,890.54 and 157,379,977,160.64 is: 217,210,797,019.58
Step by Step Solution
- Step 1: Write the proportion equation
271,493,974,198.08 : 374,707,275,890.54 = 157,379,977,160.64 : x - Step 2: Convert to fraction form
271,493,974,198.08/374,707,275,890.54 = 157,379,977,160.64/x - Step 3: Cross multiply
271,493,974,198.08x = 374,707,275,890.54 × 157,379,977,160.64 - Step 4: Simplify right side
271,493,974,198.08x = 58,971,422,521,578,819,158,016 - Step 5: Solve for x
x = 58,971,422,521,578,819,158,016/271,493,974,198.08 - Step 6: Final answer
x = 217,210,797,019.58
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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.