Finding the Fourth Proportional to 3,131,495,993,359.20, 4,321,840,675,707.60 and 1,896,865,203,701
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Solution
The fourth proportional to 3,131,495,993,359.20, 4,321,840,675,707.60 and 1,896,865,203,701 is: 2,617,901,862,583.99
Step by Step Solution
- Step 1: Write the proportion equation
3,131,495,993,359.20 : 4,321,840,675,707.60 = 1,896,865,203,701 : x - Step 2: Convert to fraction form
3,131,495,993,359.20/4,321,840,675,707.60 = 1,896,865,203,701/x - Step 3: Cross multiply
3,131,495,993,359.20x = 4,321,840,675,707.60 × 1,896,865,203,701 - Step 4: Simplify right side
3,131,495,993,359.20x = 8,197,949,193,689,364,388,904,960 - Step 5: Solve for x
x = 8,197,949,193,689,364,388,904,960/3,131,495,993,359.20 - Step 6: Final answer
x = 2,617,901,862,583.99
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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.