Finding the Fourth Proportional to 57,782,438,934,224, 79,739,778,744,972 and 31,798,921,577,970
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Solution
The fourth proportional to 57,782,438,934,224, 79,739,778,744,972 and 31,798,921,577,970 is: 43,882,518,940,442.45
Step by Step Solution
- Step 1: Write the proportion equation
57,782,438,934,224 : 79,739,778,744,972 = 31,798,921,577,970 : x - Step 2: Convert to fraction form
57,782,438,934,224/79,739,778,744,972 = 31,798,921,577,970/x - Step 3: Cross multiply
57,782,438,934,224x = 79,739,778,744,972 × 31,798,921,577,970 - Step 4: Simplify right side
57,782,438,934,224x = 2,535,638,970,956,043,578,081,542,144 - Step 5: Solve for x
x = 2,535,638,970,956,043,578,081,542,144/57,782,438,934,224 - Step 6: Final answer
x = 43,882,518,940,442.45
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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.