Finding the Fourth Proportional to 2,149,251,114.40, 3,223,876,671.60 and 787,465,463.20
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Solution
The fourth proportional to 2,149,251,114.40, 3,223,876,671.60 and 787,465,463.20 is: 1,181,198,194.80
Step by Step Solution
- Step 1: Write the proportion equation
2,149,251,114.40 : 3,223,876,671.60 = 787,465,463.20 : x - Step 2: Convert to fraction form
2,149,251,114.40/3,223,876,671.60 = 787,465,463.20/x - Step 3: Cross multiply
2,149,251,114.40x = 3,223,876,671.60 × 787,465,463.20 - Step 4: Simplify right side
2,149,251,114.40x = 2,538,691,536,501,168,128 - Step 5: Solve for x
x = 2,538,691,536,501,168,128/2,149,251,114.40 - Step 6: Final answer
x = 1,181,198,194.80
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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.