Finding the Fourth Proportional to 3,964,143,201.80, 5,468,969,318.86 and 2,269,692,264.13
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Solution
The fourth proportional to 3,964,143,201.80, 5,468,969,318.86 and 2,269,692,264.13 is: 3,131,288,836.92
Step by Step Solution
- Step 1: Write the proportion equation
3,964,143,201.80 : 5,468,969,318.86 = 2,269,692,264.13 : x - Step 2: Convert to fraction form
3,964,143,201.80/5,468,969,318.86 = 2,269,692,264.13/x - Step 3: Cross multiply
3,964,143,201.80x = 5,468,969,318.86 × 2,269,692,264.13 - Step 4: Simplify right side
3,964,143,201.80x = 12,412,877,355,761,510,400 - Step 5: Solve for x
x = 12,412,877,355,761,510,400/3,964,143,201.80 - Step 6: Final answer
x = 3,131,288,836.92
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.