Finding the Fourth Proportional to 4,278,725,888.16, 5,902,468,637.76 and 2,794,482,821.28
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Solution
The fourth proportional to 4,278,725,888.16, 5,902,468,637.76 and 2,794,482,821.28 is: 3,854,967,025.82
Step by Step Solution
- Step 1: Write the proportion equation
4,278,725,888.16 : 5,902,468,637.76 = 2,794,482,821.28 : x - Step 2: Convert to fraction form
4,278,725,888.16/5,902,468,637.76 = 2,794,482,821.28/x - Step 3: Cross multiply
4,278,725,888.16x = 5,902,468,637.76 × 2,794,482,821.28 - Step 4: Simplify right side
4,278,725,888.16x = 16,494,347,211,364,284,416 - Step 5: Solve for x
x = 16,494,347,211,364,284,416/4,278,725,888.16 - Step 6: Final answer
x = 3,854,967,025.82
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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.