Finding the Fourth Proportional to 41,007,863,544,829, 56,590,893,574,189 and 22,257,462,471,310
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Solution
The fourth proportional to 41,007,863,544,829, 56,590,893,574,189 and 22,257,462,471,310 is: 30,715,320,942,493.70
Step by Step Solution
- Step 1: Write the proportion equation
41,007,863,544,829 : 56,590,893,574,189 = 22,257,462,471,310 : x - Step 2: Convert to fraction form
41,007,863,544,829/56,590,893,574,189 = 22,257,462,471,310/x - Step 3: Cross multiply
41,007,863,544,829x = 56,590,893,574,189 × 22,257,462,471,310 - Step 4: Simplify right side
41,007,863,544,829x = 1,259,569,689,945,409,884,272,984,064 - Step 5: Solve for x
x = 1,259,569,689,945,409,884,272,984,064/41,007,863,544,829 - Step 6: Final answer
x = 30,715,320,942,493.70
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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.