Finding the Fourth Proportional to 1,644,368,329,708.10, 2,466,542,545,986.60 and 894,517,408,139.32
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Solution
The fourth proportional to 1,644,368,329,708.10, 2,466,542,545,986.60 and 894,517,408,139.32 is: 1,341,770,700,298.61
Step by Step Solution
- Step 1: Write the proportion equation
1,644,368,329,708.10 : 2,466,542,545,986.60 = 894,517,408,139.32 : x - Step 2: Convert to fraction form
1,644,368,329,708.10/2,466,542,545,986.60 = 894,517,408,139.32/x - Step 3: Cross multiply
1,644,368,329,708.10x = 2,466,542,545,986.60 × 894,517,408,139.32 - Step 4: Simplify right side
1,644,368,329,708.10x = 2,206,365,245,301,292,990,988,288 - Step 5: Solve for x
x = 2,206,365,245,301,292,990,988,288/1,644,368,329,708.10 - Step 6: Final answer
x = 1,341,770,700,298.61
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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.