Finding the Fourth Proportional to 30,222,401,793,969, 45,338,135,520,147 and 10,615,091,823,909
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Solution
The fourth proportional to 30,222,401,793,969, 45,338,135,520,147 and 10,615,091,823,909 is: 15,924,229,813,106.04
Step by Step Solution
- Step 1: Write the proportion equation
30,222,401,793,969 : 45,338,135,520,147 = 10,615,091,823,909 : x - Step 2: Convert to fraction form
30,222,401,793,969/45,338,135,520,147 = 10,615,091,823,909/x - Step 3: Cross multiply
30,222,401,793,969x = 45,338,135,520,147 × 10,615,091,823,909 - Step 4: Simplify right side
30,222,401,793,969x = 481,268,471,671,190,647,461,642,240 - Step 5: Solve for x
x = 481,268,471,671,190,647,461,642,240/30,222,401,793,969 - Step 6: Final answer
x = 15,924,229,813,106.04
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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.