Finding the Fourth Proportional to 1,122,219,493,082, 1,548,778,327,440.60 and 682,788,073,948.06
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Solution
The fourth proportional to 1,122,219,493,082, 1,548,778,327,440.60 and 682,788,073,948.06 is: 942,317,770,885.84
Step by Step Solution
- Step 1: Write the proportion equation
1,122,219,493,082 : 1,548,778,327,440.60 = 682,788,073,948.06 : x - Step 2: Convert to fraction form
1,122,219,493,082/1,548,778,327,440.60 = 682,788,073,948.06/x - Step 3: Cross multiply
1,122,219,493,082x = 1,548,778,327,440.60 × 682,788,073,948.06 - Step 4: Simplify right side
1,122,219,493,082x = 1,057,487,371,165,665,251,557,376 - Step 5: Solve for x
x = 1,057,487,371,165,665,251,557,376/1,122,219,493,082 - Step 6: Final answer
x = 942,317,770,885.84
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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.