Finding the Fourth Proportional to 1,644,368,329,704.90, 2,466,542,545,981.80 and 894,517,408,136.07
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Solution
The fourth proportional to 1,644,368,329,704.90, 2,466,542,545,981.80 and 894,517,408,136.07 is: 1,341,770,700,293.73
Step by Step Solution
- Step 1: Write the proportion equation
1,644,368,329,704.90 : 2,466,542,545,981.80 = 894,517,408,136.07 : x - Step 2: Convert to fraction form
1,644,368,329,704.90/2,466,542,545,981.80 = 894,517,408,136.07/x - Step 3: Cross multiply
1,644,368,329,704.90x = 2,466,542,545,981.80 × 894,517,408,136.07 - Step 4: Simplify right side
1,644,368,329,704.90x = 2,206,365,245,288,982,809,411,584 - Step 5: Solve for x
x = 2,206,365,245,288,982,809,411,584/1,644,368,329,704.90 - Step 6: Final answer
x = 1,341,770,700,293.73
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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.