Finding the Fourth Proportional to 11,829,298,307,556, 16,324,419,283,615 and 6,626,763,597,975.70
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Solution
The fourth proportional to 11,829,298,307,556, 16,324,419,283,615 and 6,626,763,597,975.70 is: 9,144,926,829,485.18
Step by Step Solution
- Step 1: Write the proportion equation
11,829,298,307,556 : 16,324,419,283,615 = 6,626,763,597,975.70 : x - Step 2: Convert to fraction form
11,829,298,307,556/16,324,419,283,615 = 6,626,763,597,975.70/x - Step 3: Cross multiply
11,829,298,307,556x = 16,324,419,283,615 × 6,626,763,597,975.70 - Step 4: Simplify right side
11,829,298,307,556x = 108,178,067,466,752,437,606,416,384 - Step 5: Solve for x
x = 108,178,067,466,752,437,606,416,384/11,829,298,307,556 - Step 6: Final answer
x = 9,144,926,829,485.18
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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.