Finding the Fourth Proportional to 18,664,586,296,827, 25,756,569,919,784 and 10,331,414,563,742
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Solution
The fourth proportional to 18,664,586,296,827, 25,756,569,919,784 and 10,331,414,563,742 is: 14,257,042,580,500.87
Step by Step Solution
- Step 1: Write the proportion equation
18,664,586,296,827 : 25,756,569,919,784 = 10,331,414,563,742 : x - Step 2: Convert to fraction form
18,664,586,296,827/25,756,569,919,784 = 10,331,414,563,742/x - Step 3: Cross multiply
18,664,586,296,827x = 25,756,569,919,784 × 10,331,414,563,742 - Step 4: Simplify right side
18,664,586,296,827x = 266,101,801,581,295,541,707,341,824 - Step 5: Solve for x
x = 266,101,801,581,295,541,707,341,824/18,664,586,296,827 - Step 6: Final answer
x = 14,257,042,580,500.87
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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.