Finding the Fourth Proportional to 10,424,340,491,759, 14,385,592,226,756 and 5,736,739,256,948.60
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Solution
The fourth proportional to 10,424,340,491,759, 14,385,592,226,756 and 5,736,739,256,948.60 is: 7,916,701,466,814.84
Step by Step Solution
- Step 1: Write the proportion equation
10,424,340,491,759 : 14,385,592,226,756 = 5,736,739,256,948.60 : x - Step 2: Convert to fraction form
10,424,340,491,759/14,385,592,226,756 = 5,736,739,256,948.60/x - Step 3: Cross multiply
10,424,340,491,759x = 14,385,592,226,756 × 5,736,739,256,948.60 - Step 4: Simplify right side
10,424,340,491,759x = 82,526,391,661,685,764,056,416,256 - Step 5: Solve for x
x = 82,526,391,661,685,764,056,416,256/10,424,340,491,759 - Step 6: Final answer
x = 7,916,701,466,814.84
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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.