Finding the Fourth Proportional to 30,222,401,793,970, 45,338,135,520,150 and 10,615,091,823,910
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Solution
The fourth proportional to 30,222,401,793,970, 45,338,135,520,150 and 10,615,091,823,910 is: 15,924,229,813,108.07
Step by Step Solution
- Step 1: Write the proportion equation
30,222,401,793,970 : 45,338,135,520,150 = 10,615,091,823,910 : x - Step 2: Convert to fraction form
30,222,401,793,970/45,338,135,520,150 = 10,615,091,823,910/x - Step 3: Cross multiply
30,222,401,793,970x = 45,338,135,520,150 × 10,615,091,823,910 - Step 4: Simplify right side
30,222,401,793,970x = 481,268,471,671,267,819,434,016,768 - Step 5: Solve for x
x = 481,268,471,671,267,819,434,016,768/30,222,401,793,970 - Step 6: Final answer
x = 15,924,229,813,108.07
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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.