Finding the Fourth Proportional to 3,771,419,124,178, 5,657,128,679,921.60 and 906,234,912,899.66
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Solution
The fourth proportional to 3,771,419,124,178, 5,657,128,679,921.60 and 906,234,912,899.66 is: 1,359,352,367,824.75
Step by Step Solution
- Step 1: Write the proportion equation
3,771,419,124,178 : 5,657,128,679,921.60 = 906,234,912,899.66 : x - Step 2: Convert to fraction form
3,771,419,124,178/5,657,128,679,921.60 = 906,234,912,899.66/x - Step 3: Cross multiply
3,771,419,124,178x = 5,657,128,679,921.60 × 906,234,912,899.66 - Step 4: Simplify right side
3,771,419,124,178x = 5,126,687,516,510,919,424,212,992 - Step 5: Solve for x
x = 5,126,687,516,510,919,424,212,992/3,771,419,124,178 - Step 6: Final answer
x = 1,359,352,367,824.75
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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.