Finding the Fourth Proportional to 1,516,685,704,510.20, 2,274,786,383,004.20 and 441,990,242,235.84
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Solution
The fourth proportional to 1,516,685,704,510.20, 2,274,786,383,004.20 and 441,990,242,235.84 is: 662,914,789,444.47
Step by Step Solution
- Step 1: Write the proportion equation
1,516,685,704,510.20 : 2,274,786,383,004.20 = 441,990,242,235.84 : x - Step 2: Convert to fraction form
1,516,685,704,510.20/2,274,786,383,004.20 = 441,990,242,235.84/x - Step 3: Cross multiply
1,516,685,704,510.20x = 2,274,786,383,004.20 × 441,990,242,235.84 - Step 4: Simplify right side
1,516,685,704,510.20x = 1,005,433,384,458,816,793,346,048 - Step 5: Solve for x
x = 1,005,433,384,458,816,793,346,048/1,516,685,704,510.20 - Step 6: Final answer
x = 662,914,789,444.47
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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.