Finding the Fourth Proportional to 932,230,040,778.24, 1,286,463,876,869.80 and 520,704,375,317.49
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Solution
The fourth proportional to 932,230,040,778.24, 1,286,463,876,869.80 and 520,704,375,317.49 is: 718,564,453,055.80
Step by Step Solution
- Step 1: Write the proportion equation
932,230,040,778.24 : 1,286,463,876,869.80 = 520,704,375,317.49 : x - Step 2: Convert to fraction form
932,230,040,778.24/1,286,463,876,869.80 = 520,704,375,317.49/x - Step 3: Cross multiply
932,230,040,778.24x = 1,286,463,876,869.80 × 520,704,375,317.49 - Step 4: Simplify right side
932,230,040,778.24x = 669,867,369,374,005,585,772,544 - Step 5: Solve for x
x = 669,867,369,374,005,585,772,544/932,230,040,778.24 - Step 6: Final answer
x = 718,564,453,055.80
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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.