Finding the Fourth Proportional to 11,829,298,307,573, 16,324,419,283,639 and 6,626,763,597,993.70
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Solution
The fourth proportional to 11,829,298,307,573, 16,324,419,283,639 and 6,626,763,597,993.70 is: 9,144,926,829,510.32
Step by Step Solution
- Step 1: Write the proportion equation
11,829,298,307,573 : 16,324,419,283,639 = 6,626,763,597,993.70 : x - Step 2: Convert to fraction form
11,829,298,307,573/16,324,419,283,639 = 6,626,763,597,993.70/x - Step 3: Cross multiply
11,829,298,307,573x = 16,324,419,283,639 × 6,626,763,597,993.70 - Step 4: Simplify right side
11,829,298,307,573x = 108,178,067,467,205,316,137,975,808 - Step 5: Solve for x
x = 108,178,067,467,205,316,137,975,808/11,829,298,307,573 - Step 6: Final answer
x = 9,144,926,829,510.32
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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.