Finding the Fourth Proportional to 2,524,782,227.60, 3,784,485,955.80 and 971,473,350.80
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Solution
The fourth proportional to 2,524,782,227.60, 3,784,485,955.80 and 971,473,350.80 is: 1,456,175,987.12
Step by Step Solution
- Step 1: Write the proportion equation
2,524,782,227.60 : 3,784,485,955.80 = 971,473,350.80 : x - Step 2: Convert to fraction form
2,524,782,227.60/3,784,485,955.80 = 971,473,350.80/x - Step 3: Cross multiply
2,524,782,227.60x = 3,784,485,955.80 × 971,473,350.80 - Step 4: Simplify right side
2,524,782,227.60x = 3,676,527,252,536,566,784 - Step 5: Solve for x
x = 3,676,527,252,536,566,784/2,524,782,227.60 - Step 6: Final answer
x = 1,456,175,987.12
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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.