Finding the Fourth Proportional to 144,707,583,537.12, 199,557,876,304.80 and 95,800,986,225.12
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Solution
The fourth proportional to 144,707,583,537.12, 199,557,876,304.80 and 95,800,986,225.12 is: 132,113,610,715.41
Step by Step Solution
- Step 1: Write the proportion equation
144,707,583,537.12 : 199,557,876,304.80 = 95,800,986,225.12 : x - Step 2: Convert to fraction form
144,707,583,537.12/199,557,876,304.80 = 95,800,986,225.12/x - Step 3: Cross multiply
144,707,583,537.12x = 199,557,876,304.80 × 95,800,986,225.12 - Step 4: Simplify right side
144,707,583,537.12x = 19,117,841,358,990,342,094,848 - Step 5: Solve for x
x = 19,117,841,358,990,342,094,848/144,707,583,537.12 - Step 6: Final answer
x = 132,113,610,715.41
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1.5x scale
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.