Finding the Fourth Proportional to 1,644,368,329,709.40, 2,466,542,545,988.70 and 894,517,408,140.60
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Solution
The fourth proportional to 1,644,368,329,709.40, 2,466,542,545,988.70 and 894,517,408,140.60 is: 1,341,770,700,300.61
Step by Step Solution
- Step 1: Write the proportion equation
1,644,368,329,709.40 : 2,466,542,545,988.70 = 894,517,408,140.60 : x - Step 2: Convert to fraction form
1,644,368,329,709.40/2,466,542,545,988.70 = 894,517,408,140.60/x - Step 3: Cross multiply
1,644,368,329,709.40x = 2,466,542,545,988.70 × 894,517,408,140.60 - Step 4: Simplify right side
1,644,368,329,709.40x = 2,206,365,245,306,328,840,142,848 - Step 5: Solve for x
x = 2,206,365,245,306,328,840,142,848/1,644,368,329,709.40 - Step 6: Final answer
x = 1,341,770,700,300.61
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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.