Finding the Fourth Proportional to 206,189,036,584.12, 284,565,641,177.24 and 124,896,474,302.08
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Solution
The fourth proportional to 206,189,036,584.12, 284,565,641,177.24 and 124,896,474,302.08 is: 172,372,139,078.54
Step by Step Solution
- Step 1: Write the proportion equation
206,189,036,584.12 : 284,565,641,177.24 = 124,896,474,302.08 : x - Step 2: Convert to fraction form
206,189,036,584.12/284,565,641,177.24 = 124,896,474,302.08/x - Step 3: Cross multiply
206,189,036,584.12x = 284,565,641,177.24 × 124,896,474,302.08 - Step 4: Simplify right side
206,189,036,584.12x = 35,541,245,290,548,071,235,584 - Step 5: Solve for x
x = 35,541,245,290,548,071,235,584/206,189,036,584.12 - Step 6: Final answer
x = 172,372,139,078.54
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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.