Finding the Fourth Proportional to 749,183,570,604.19, 1,033,874,092,593.30 and 406,627,504,207.12
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Solution
The fourth proportional to 749,183,570,604.19, 1,033,874,092,593.30 and 406,627,504,207.12 is: 561,146,371,104.45
Step by Step Solution
- Step 1: Write the proportion equation
749,183,570,604.19 : 1,033,874,092,593.30 = 406,627,504,207.12 : x - Step 2: Convert to fraction form
749,183,570,604.19/1,033,874,092,593.30 = 406,627,504,207.12/x - Step 3: Cross multiply
749,183,570,604.19x = 1,033,874,092,593.30 × 406,627,504,207.12 - Step 4: Simplify right side
749,183,570,604.19x = 420,401,641,935,614,481,793,024 - Step 5: Solve for x
x = 420,401,641,935,614,481,793,024/749,183,570,604.19 - Step 6: Final answer
x = 561,146,371,104.45
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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.