Finding the Fourth Proportional to 12,670,761,162,914, 18,980,693,863,068 and 5,777,071,731,289
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Solution
The fourth proportional to 12,670,761,162,914, 18,980,693,863,068 and 5,777,071,731,289 is: 8,654,004,960,453.61
Step by Step Solution
- Step 1: Write the proportion equation
12,670,761,162,914 : 18,980,693,863,068 = 5,777,071,731,289 : x - Step 2: Convert to fraction form
12,670,761,162,914/18,980,693,863,068 = 5,777,071,731,289/x - Step 3: Cross multiply
12,670,761,162,914x = 18,980,693,863,068 × 5,777,071,731,289 - Step 4: Simplify right side
12,670,761,162,914x = 109,652,829,956,580,744,261,271,552 - Step 5: Solve for x
x = 109,652,829,956,580,744,261,271,552/12,670,761,162,914 - Step 6: Final answer
x = 8,654,004,960,453.61
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.