Finding the Fourth Proportional to 1,616,486,044.80, 2,424,729,067.20 and 1,461,517,849.20
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Solution
The fourth proportional to 1,616,486,044.80, 2,424,729,067.20 and 1,461,517,849.20 is: 2,192,276,773.80
Step by Step Solution
- Step 1: Write the proportion equation
1,616,486,044.80 : 2,424,729,067.20 = 1,461,517,849.20 : x - Step 2: Convert to fraction form
1,616,486,044.80/2,424,729,067.20 = 1,461,517,849.20/x - Step 3: Cross multiply
1,616,486,044.80x = 2,424,729,067.20 × 1,461,517,849.20 - Step 4: Simplify right side
1,616,486,044.80x = 3,543,784,811,186,866,176 - Step 5: Solve for x
x = 3,543,784,811,186,866,176/1,616,486,044.80 - Step 6: Final answer
x = 2,192,276,773.80
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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.