Finding the Fourth Proportional to 1,827,950,327.67, 2,740,011,785.35 and 764,982,197.33
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Solution
The fourth proportional to 1,827,950,327.67, 2,740,011,785.35 and 764,982,197.33 is: 1,146,672,425.69
Step by Step Solution
- Step 1: Write the proportion equation
1,827,950,327.67 : 2,740,011,785.35 = 764,982,197.33 : x - Step 2: Convert to fraction form
1,827,950,327.67/2,740,011,785.35 = 764,982,197.33/x - Step 3: Cross multiply
1,827,950,327.67x = 2,740,011,785.35 × 764,982,197.33 - Step 4: Simplify right side
1,827,950,327.67x = 2,096,060,236,261,801,728 - Step 5: Solve for x
x = 2,096,060,236,261,801,728/1,827,950,327.67 - Step 6: Final answer
x = 1,146,672,425.69
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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.