Finding the Fourth Proportional to 715,660,677,078.84, 1,073,483,941,327.60 and 327,876,809,135.14
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Solution
The fourth proportional to 715,660,677,078.84, 1,073,483,941,327.60 and 327,876,809,135.14 is: 491,811,972,647.39
Step by Step Solution
- Step 1: Write the proportion equation
715,660,677,078.84 : 1,073,483,941,327.60 = 327,876,809,135.14 : x - Step 2: Convert to fraction form
715,660,677,078.84/1,073,483,941,327.60 = 327,876,809,135.14/x - Step 3: Cross multiply
715,660,677,078.84x = 1,073,483,941,327.60 × 327,876,809,135.14 - Step 4: Simplify right side
715,660,677,078.84x = 351,970,489,340,307,347,341,312 - Step 5: Solve for x
x = 351,970,489,340,307,347,341,312/715,660,677,078.84 - Step 6: Final answer
x = 491,811,972,647.39
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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.