Finding the Fourth Proportional to 1,466,463,162.46, 2,023,729,691.82 and 797,403,413.02
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Solution
The fourth proportional to 1,466,463,162.46, 2,023,729,691.82 and 797,403,413.02 is: 1,100,422,434.46
Step by Step Solution
- Step 1: Write the proportion equation
1,466,463,162.46 : 2,023,729,691.82 = 797,403,413.02 : x - Step 2: Convert to fraction form
1,466,463,162.46/2,023,729,691.82 = 797,403,413.02/x - Step 3: Cross multiply
1,466,463,162.46x = 2,023,729,691.82 × 797,403,413.02 - Step 4: Simplify right side
1,466,463,162.46x = 1,613,728,963,287,180,800 - Step 5: Solve for x
x = 1,613,728,963,287,180,800/1,466,463,162.46 - Step 6: Final answer
x = 1,100,422,434.46
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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.