Finding the Fourth Proportional to 3,666,416,930,592, 5,059,922,781,927.20 and 2,125,312,177,240.30
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Solution
The fourth proportional to 3,666,416,930,592, 5,059,922,781,927.20 and 2,125,312,177,240.30 is: 2,933,085,818,635.77
Step by Step Solution
- Step 1: Write the proportion equation
3,666,416,930,592 : 5,059,922,781,927.20 = 2,125,312,177,240.30 : x - Step 2: Convert to fraction form
3,666,416,930,592/5,059,922,781,927.20 = 2,125,312,177,240.30/x - Step 3: Cross multiply
3,666,416,930,592x = 5,059,922,781,927.20 × 2,125,312,177,240.30 - Step 4: Simplify right side
3,666,416,930,592x = 10,753,915,504,325,492,756,971,520 - Step 5: Solve for x
x = 10,753,915,504,325,492,756,971,520/3,666,416,930,592 - Step 6: Final answer
x = 2,933,085,818,635.77
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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.