Finding the Fourth Proportional to 1,508,790,489,212.40, 2,082,120,283,072.60 and 823,678,215,142.90
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Solution
The fourth proportional to 1,508,790,489,212.40, 2,082,120,283,072.60 and 823,678,215,142.90 is: 1,136,670,154,495.28
Step by Step Solution
- Step 1: Write the proportion equation
1,508,790,489,212.40 : 2,082,120,283,072.60 = 823,678,215,142.90 : x - Step 2: Convert to fraction form
1,508,790,489,212.40/2,082,120,283,072.60 = 823,678,215,142.90/x - Step 3: Cross multiply
1,508,790,489,212.40x = 2,082,120,283,072.60 × 823,678,215,142.90 - Step 4: Simplify right side
1,508,790,489,212.40x = 1,714,997,118,474,068,974,108,672 - Step 5: Solve for x
x = 1,714,997,118,474,068,974,108,672/1,508,790,489,212.40 - Step 6: Final answer
x = 1,136,670,154,495.28
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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.