Finding the Fourth Proportional to 4,129,098,416,430.20, 5,698,161,465,697.20 and 2,251,945,258,049
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Solution
The fourth proportional to 4,129,098,416,430.20, 5,698,161,465,697.20 and 2,251,945,258,049 is: 3,107,687,538,086.87
Step by Step Solution
- Step 1: Write the proportion equation
4,129,098,416,430.20 : 5,698,161,465,697.20 = 2,251,945,258,049 : x - Step 2: Convert to fraction form
4,129,098,416,430.20/5,698,161,465,697.20 = 2,251,945,258,049/x - Step 3: Cross multiply
4,129,098,416,430.20x = 5,698,161,465,697.20 × 2,251,945,258,049 - Step 4: Simplify right side
4,129,098,416,430.20x = 12,831,947,692,274,350,349,615,104 - Step 5: Solve for x
x = 12,831,947,692,274,350,349,615,104/4,129,098,416,430.20 - Step 6: Final answer
x = 3,107,687,538,086.87
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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.