Finding the Fourth Proportional to 5,122,493,687,715, 7,683,457,703,266.20 and 3,745,508,775,823.60
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Solution
The fourth proportional to 5,122,493,687,715, 7,683,457,703,266.20 and 3,745,508,775,823.60 is: 5,618,056,362,913.79
Step by Step Solution
- Step 1: Write the proportion equation
5,122,493,687,715 : 7,683,457,703,266.20 = 3,745,508,775,823.60 : x - Step 2: Convert to fraction form
5,122,493,687,715/7,683,457,703,266.20 = 3,745,508,775,823.60/x - Step 3: Cross multiply
5,122,493,687,715x = 7,683,457,703,266.20 × 3,745,508,775,823.60 - Step 4: Simplify right side
5,122,493,687,715x = 28,778,458,256,252,997,503,811,584 - Step 5: Solve for x
x = 28,778,458,256,252,997,503,811,584/5,122,493,687,715 - Step 6: Final answer
x = 5,618,056,362,913.79
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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.