Finding the Fourth Proportional to 5,177,720,392.50, 7,765,730,283.14 and 2,229,206,205.18
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Solution
The fourth proportional to 5,177,720,392.50, 7,765,730,283.14 and 2,229,206,205.18 is: 3,343,443,218.76
Step by Step Solution
- Step 1: Write the proportion equation
5,177,720,392.50 : 7,765,730,283.14 = 2,229,206,205.18 : x - Step 2: Convert to fraction form
5,177,720,392.50/7,765,730,283.14 = 2,229,206,205.18/x - Step 3: Cross multiply
5,177,720,392.50x = 7,765,730,283.14 × 2,229,206,205.18 - Step 4: Simplify right side
5,177,720,392.50x = 17,311,414,134,935,498,752 - Step 5: Solve for x
x = 17,311,414,134,935,498,752/5,177,720,392.50 - Step 6: Final answer
x = 3,343,443,218.76
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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.