Finding the Fourth Proportional to 52,839,551,905,716, 72,920,841,654,390 and 29,427,977,162,112
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Solution
The fourth proportional to 52,839,551,905,716, 72,920,841,654,390 and 29,427,977,162,112 is: 40,611,867,161,107.34
Step by Step Solution
- Step 1: Write the proportion equation
52,839,551,905,716 : 72,920,841,654,390 = 29,427,977,162,112 : x - Step 2: Convert to fraction form
52,839,551,905,716/72,920,841,654,390 = 29,427,977,162,112/x - Step 3: Cross multiply
52,839,551,905,716x = 72,920,841,654,390 × 29,427,977,162,112 - Step 4: Simplify right side
52,839,551,905,716x = 2,145,912,862,847,374,469,969,739,776 - Step 5: Solve for x
x = 2,145,912,862,847,374,469,969,739,776/52,839,551,905,716 - Step 6: Final answer
x = 40,611,867,161,107.34
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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.