Finding the Fourth Proportional to 5,751,123,746,867, 7,936,800,250,336 and 3,184,850,427,731
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Solution
The fourth proportional to 5,751,123,746,867, 7,936,800,250,336 and 3,184,850,427,731 is: 4,395,231,746,816.16
Step by Step Solution
- Step 1: Write the proportion equation
5,751,123,746,867 : 7,936,800,250,336 = 3,184,850,427,731 : x - Step 2: Convert to fraction form
5,751,123,746,867/7,936,800,250,336 = 3,184,850,427,731/x - Step 3: Cross multiply
5,751,123,746,867x = 7,936,800,250,336 × 3,184,850,427,731 - Step 4: Simplify right side
5,751,123,746,867x = 25,277,521,672,098,119,338,164,224 - Step 5: Solve for x
x = 25,277,521,672,098,119,338,164,224/5,751,123,746,867 - Step 6: Final answer
x = 4,395,231,746,816.16
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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.