Finding the Fourth Proportional to 2,585,783,206,767, 3,878,678,543,137.70 and 1,055,959,508,021.90
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Solution
The fourth proportional to 2,585,783,206,767, 3,878,678,543,137.70 and 1,055,959,508,021.90 is: 1,583,940,786,477.48
Step by Step Solution
- Step 1: Write the proportion equation
2,585,783,206,767 : 3,878,678,543,137.70 = 1,055,959,508,021.90 : x - Step 2: Convert to fraction form
2,585,783,206,767/3,878,678,543,137.70 = 1,055,959,508,021.90/x - Step 3: Cross multiply
2,585,783,206,767x = 3,878,678,543,137.70 × 1,055,959,508,021.90 - Step 4: Simplify right side
2,585,783,206,767x = 4,095,727,486,186,785,725,218,816 - Step 5: Solve for x
x = 4,095,727,486,186,785,725,218,816/2,585,783,206,767 - Step 6: Final answer
x = 1,583,940,786,477.48
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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.