Finding the Fourth Proportional to 58,475,251,273,738, 80,697,782,013,000 and 32,138,167,441,506
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Solution
The fourth proportional to 58,475,251,273,738, 80,697,782,013,000 and 32,138,167,441,506 is: 44,351,734,691,163.45
Step by Step Solution
- Step 1: Write the proportion equation
58,475,251,273,738 : 80,697,782,013,000 = 32,138,167,441,506 : x - Step 2: Convert to fraction form
58,475,251,273,738/80,697,782,013,000 = 32,138,167,441,506/x - Step 3: Cross multiply
58,475,251,273,738x = 80,697,782,013,000 × 32,138,167,441,506 - Step 4: Simplify right side
58,475,251,273,738x = 2,593,478,830,491,945,304,338,726,912 - Step 5: Solve for x
x = 2,593,478,830,491,945,304,338,726,912/58,475,251,273,738 - Step 6: Final answer
x = 44,351,734,691,163.45
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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.