Finding the Fourth Proportional to 287,880,949,548.77, 397,288,198,445.47 and 159,422,398,165.95
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Solution
The fourth proportional to 287,880,949,548.77, 397,288,198,445.47 and 159,422,398,165.95 is: 220,009,825,097.78
Step by Step Solution
- Step 1: Write the proportion equation
287,880,949,548.77 : 397,288,198,445.47 = 159,422,398,165.95 : x - Step 2: Convert to fraction form
287,880,949,548.77/397,288,198,445.47 = 159,422,398,165.95/x - Step 3: Cross multiply
287,880,949,548.77x = 397,288,198,445.47 × 159,422,398,165.95 - Step 4: Simplify right side
287,880,949,548.77x = 63,336,637,359,206,678,134,784 - Step 5: Solve for x
x = 63,336,637,359,206,678,134,784/287,880,949,548.77 - Step 6: Final answer
x = 220,009,825,097.78
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.