Finding the Fourth Proportional to 55,061,749,651,200, 76,019,512,988,100 and 35,050,029,704,216
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Solution
The fourth proportional to 55,061,749,651,200, 76,019,512,988,100 and 35,050,029,704,216 is: 48,390,873,977,156.12
Step by Step Solution
- Step 1: Write the proportion equation
55,061,749,651,200 : 76,019,512,988,100 = 35,050,029,704,216 : x - Step 2: Convert to fraction form
55,061,749,651,200/76,019,512,988,100 = 35,050,029,704,216/x - Step 3: Cross multiply
55,061,749,651,200x = 76,019,512,988,100 × 35,050,029,704,216 - Step 4: Simplify right side
55,061,749,651,200x = 2,664,486,188,332,938,825,448,816,640 - Step 5: Solve for x
x = 2,664,486,188,332,938,825,448,816,640/55,061,749,651,200 - Step 6: Final answer
x = 48,390,873,977,156.12
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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.