Finding the Fourth Proportional to 4,091,993,635.46, 5,646,940,595.74 and 2,283,486,542.60
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Solution
The fourth proportional to 4,091,993,635.46, 5,646,940,595.74 and 2,283,486,542.60 is: 3,151,205,501.76
Step by Step Solution
- Step 1: Write the proportion equation
4,091,993,635.46 : 5,646,940,595.74 = 2,283,486,542.60 : x - Step 2: Convert to fraction form
4,091,993,635.46/5,646,940,595.74 = 2,283,486,542.60/x - Step 3: Cross multiply
4,091,993,635.46x = 5,646,940,595.74 × 2,283,486,542.60 - Step 4: Simplify right side
4,091,993,635.46x = 12,894,712,857,233,915,904 - Step 5: Solve for x
x = 12,894,712,857,233,915,904/4,091,993,635.46 - Step 6: Final answer
x = 3,151,205,501.76
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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.