Finding the Fourth Proportional to 4,091,993,651, 5,646,940,617.12 and 2,283,486,558.12
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Solution
The fourth proportional to 4,091,993,651, 5,646,940,617.12 and 2,283,486,558.12 is: 3,151,205,523.14
Step by Step Solution
- Step 1: Write the proportion equation
4,091,993,651 : 5,646,940,617.12 = 2,283,486,558.12 : x - Step 2: Convert to fraction form
4,091,993,651/5,646,940,617.12 = 2,283,486,558.12/x - Step 3: Cross multiply
4,091,993,651x = 5,646,940,617.12 × 2,283,486,558.12 - Step 4: Simplify right side
4,091,993,651x = 12,894,712,993,695,377,408 - Step 5: Solve for x
x = 12,894,712,993,695,377,408/4,091,993,651 - Step 6: Final answer
x = 3,151,205,523.14
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1.5x scale
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.