Finding the Fourth Proportional to 50,158,367,026.26, 69,218,557,794.92 and 27,603,230,432.28
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Solution
The fourth proportional to 50,158,367,026.26, 69,218,557,794.92 and 27,603,230,432.28 is: 38,092,464,214.45
Step by Step Solution
- Step 1: Write the proportion equation
50,158,367,026.26 : 69,218,557,794.92 = 27,603,230,432.28 : x - Step 2: Convert to fraction form
50,158,367,026.26/69,218,557,794.92 = 27,603,230,432.28/x - Step 3: Cross multiply
50,158,367,026.26x = 69,218,557,794.92 × 27,603,230,432.28 - Step 4: Simplify right side
50,158,367,026.26x = 1,910,655,801,003,267,588,096 - Step 5: Solve for x
x = 1,910,655,801,003,267,588,096/50,158,367,026.26 - Step 6: Final answer
x = 38,092,464,214.45
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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.