Finding the Fourth Proportional to 11,948,735,503.67, 16,489,279,414.60 and 6,596,303,225.09
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Solution
The fourth proportional to 11,948,735,503.67, 16,489,279,414.60 and 6,596,303,225.09 is: 9,102,911,931.44
Step by Step Solution
- Step 1: Write the proportion equation
11,948,735,503.67 : 16,489,279,414.60 = 6,596,303,225.09 : x - Step 2: Convert to fraction form
11,948,735,503.67/16,489,279,414.60 = 6,596,303,225.09/x - Step 3: Cross multiply
11,948,735,503.67x = 16,489,279,414.60 × 6,596,303,225.09 - Step 4: Simplify right side
11,948,735,503.67x = 108,768,286,981,936,136,192 - Step 5: Solve for x
x = 108,768,286,981,936,136,192/11,948,735,503.67 - Step 6: Final answer
x = 9,102,911,931.44
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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.