Finding the Fourth Proportional to 1,116,513,152,099.70, 1,540,767,222,734 and 682,933,691,074.72
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Solution
The fourth proportional to 1,116,513,152,099.70, 1,540,767,222,734 and 682,933,691,074.72 is: 942,435,693,238.22
Step by Step Solution
- Step 1: Write the proportion equation
1,116,513,152,099.70 : 1,540,767,222,734 = 682,933,691,074.72 : x - Step 2: Convert to fraction form
1,116,513,152,099.70/1,540,767,222,734 = 682,933,691,074.72/x - Step 3: Cross multiply
1,116,513,152,099.70x = 1,540,767,222,734 × 682,933,691,074.72 - Step 4: Simplify right side
1,116,513,152,099.70x = 1,052,241,846,508,675,817,013,248 - Step 5: Solve for x
x = 1,052,241,846,508,675,817,013,248/1,116,513,152,099.70 - Step 6: Final answer
x = 942,435,693,238.22
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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.