Finding the Fourth Proportional to 1,462,396,613,776.20, 2,193,232,430,436 and 494,283,531,593.88
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Solution
The fourth proportional to 1,462,396,613,776.20, 2,193,232,430,436 and 494,283,531,593.88 is: 741,302,777,310.75
Step by Step Solution
- Step 1: Write the proportion equation
1,462,396,613,776.20 : 2,193,232,430,436 = 494,283,531,593.88 : x - Step 2: Convert to fraction form
1,462,396,613,776.20/2,193,232,430,436 = 494,283,531,593.88/x - Step 3: Cross multiply
1,462,396,613,776.20x = 2,193,232,430,436 × 494,283,531,593.88 - Step 4: Simplify right side
1,462,396,613,776.20x = 1,084,078,671,322,134,857,383,936 - Step 5: Solve for x
x = 1,084,078,671,322,134,857,383,936/1,462,396,613,776.20 - Step 6: Final answer
x = 741,302,777,310.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.