Finding the Fourth Proportional to 23,004,500,423,253, 31,747,208,502,744 and 12,739,407,146,709
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Solution
The fourth proportional to 23,004,500,423,253, 31,747,208,502,744 and 12,739,407,146,709 is: 17,580,934,488,762.39
Step by Step Solution
- Step 1: Write the proportion equation
23,004,500,423,253 : 31,747,208,502,744 = 12,739,407,146,709 : x - Step 2: Convert to fraction form
23,004,500,423,253/31,747,208,502,744 = 12,739,407,146,709/x - Step 3: Cross multiply
23,004,500,423,253x = 31,747,208,502,744 × 12,739,407,146,709 - Step 4: Simplify right side
23,004,500,423,253x = 404,440,614,887,917,640,757,542,912 - Step 5: Solve for x
x = 404,440,614,887,917,640,757,542,912/23,004,500,423,253 - Step 6: Final answer
x = 17,580,934,488,762.39
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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.