Finding the Fourth Proportional to 80,770,093,746.05, 121,157,608,829.22 and 27,710,382,590.03
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Solution
The fourth proportional to 80,770,093,746.05, 121,157,608,829.22 and 27,710,382,590.03 is: 41,566,420,671.83
Step by Step Solution
- Step 1: Write the proportion equation
80,770,093,746.05 : 121,157,608,829.22 = 27,710,382,590.03 : x - Step 2: Convert to fraction form
80,770,093,746.05/121,157,608,829.22 = 27,710,382,590.03/x - Step 3: Cross multiply
80,770,093,746.05x = 121,157,608,829.22 × 27,710,382,590.03 - Step 4: Simplify right side
80,770,093,746.05x = 3,357,323,694,351,246,688,256 - Step 5: Solve for x
x = 3,357,323,694,351,246,688,256/80,770,093,746.05 - Step 6: Final answer
x = 41,566,420,671.83
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.