Finding the Fourth Proportional to 1,676,327,491.47, 2,312,605,051.31 and 997,763,957.09
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Solution
The fourth proportional to 1,676,327,491.47, 2,312,605,051.31 and 997,763,957.09 is: 1,376,481,611.69
Step by Step Solution
- Step 1: Write the proportion equation
1,676,327,491.47 : 2,312,605,051.31 = 997,763,957.09 : x - Step 2: Convert to fraction form
1,676,327,491.47/2,312,605,051.31 = 997,763,957.09/x - Step 3: Cross multiply
1,676,327,491.47x = 2,312,605,051.31 × 997,763,957.09 - Step 4: Simplify right side
1,676,327,491.47x = 2,307,433,967,181,388,288 - Step 5: Solve for x
x = 2,307,433,967,181,388,288/1,676,327,491.47 - Step 6: Final answer
x = 1,376,481,611.69
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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.