Finding the Fourth Proportional to 1,827,950,343.20, 2,740,011,808.58 and 764,982,212.84
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Solution
The fourth proportional to 1,827,950,343.20, 2,740,011,808.58 and 764,982,212.84 is: 1,146,672,448.91
Step by Step Solution
- Step 1: Write the proportion equation
1,827,950,343.20 : 2,740,011,808.58 = 764,982,212.84 : x - Step 2: Convert to fraction form
1,827,950,343.20/2,740,011,808.58 = 764,982,212.84/x - Step 3: Cross multiply
1,827,950,343.20x = 2,740,011,808.58 × 764,982,212.84 - Step 4: Simplify right side
1,827,950,343.20x = 2,096,060,296,531,433,984 - Step 5: Solve for x
x = 2,096,060,296,531,433,984/1,827,950,343.20 - Step 6: Final answer
x = 1,146,672,448.91
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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.