Finding the Fourth Proportional to 30,969,850,477,028, 42,738,176,242,676 and 16,907,046,771,183
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Solution
The fourth proportional to 30,969,850,477,028, 42,738,176,242,676 and 16,907,046,771,183 is: 23,331,605,852,794.12
Step by Step Solution
- Step 1: Write the proportion equation
30,969,850,477,028 : 42,738,176,242,676 = 16,907,046,771,183 : x - Step 2: Convert to fraction form
30,969,850,477,028/42,738,176,242,676 = 16,907,046,771,183/x - Step 3: Cross multiply
30,969,850,477,028x = 42,738,176,242,676 × 16,907,046,771,183 - Step 4: Simplify right side
30,969,850,477,028x = 722,576,344,649,985,309,997,531,136 - Step 5: Solve for x
x = 722,576,344,649,985,309,997,531,136/30,969,850,477,028 - Step 6: Final answer
x = 23,331,605,852,794.12
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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.