Finding the Fourth Proportional to 4,872,937,606,231, 6,724,815,167,869.40 and 2,678,180,620,211.80
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Solution
The fourth proportional to 4,872,937,606,231, 6,724,815,167,869.40 and 2,678,180,620,211.80 is: 3,695,977,891,049.65
Step by Step Solution
- Step 1: Write the proportion equation
4,872,937,606,231 : 6,724,815,167,869.40 = 2,678,180,620,211.80 : x - Step 2: Convert to fraction form
4,872,937,606,231/6,724,815,167,869.40 = 2,678,180,620,211.80/x - Step 3: Cross multiply
4,872,937,606,231x = 6,724,815,167,869.40 × 2,678,180,620,211.80 - Step 4: Simplify right side
4,872,937,606,231x = 18,010,269,657,094,189,542,801,408 - Step 5: Solve for x
x = 18,010,269,657,094,189,542,801,408/4,872,937,606,231 - Step 6: Final answer
x = 3,695,977,891,049.65
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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.