Finding the Fourth Proportional to 4,596,101,627.17, 6,342,424,277.40 and 2,561,444,213.44
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Solution
The fourth proportional to 4,596,101,627.17, 6,342,424,277.40 and 2,561,444,213.44 is: 3,534,683,799.96
Step by Step Solution
- Step 1: Write the proportion equation
4,596,101,627.17 : 6,342,424,277.40 = 2,561,444,213.44 : x - Step 2: Convert to fraction form
4,596,101,627.17/6,342,424,277.40 = 2,561,444,213.44/x - Step 3: Cross multiply
4,596,101,627.17x = 6,342,424,277.40 × 2,561,444,213.44 - Step 4: Simplify right side
4,596,101,627.17x = 16,245,765,964,511,746,048 - Step 5: Solve for x
x = 16,245,765,964,511,746,048/4,596,101,627.17 - Step 6: Final answer
x = 3,534,683,799.96
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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.