Finding the Fourth Proportional to 23,066,923,243,970, 31,832,377,635,484 and 12,519,822,640,114
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Solution
The fourth proportional to 23,066,923,243,970, 31,832,377,635,484 and 12,519,822,640,114 is: 17,277,368,030,154.33
Step by Step Solution
- Step 1: Write the proportion equation
23,066,923,243,970 : 31,832,377,635,484 = 12,519,822,640,114 : x - Step 2: Convert to fraction form
23,066,923,243,970/31,832,377,635,484 = 12,519,822,640,114/x - Step 3: Cross multiply
23,066,923,243,970x = 31,832,377,635,484 × 12,519,822,640,114 - Step 4: Simplify right side
23,066,923,243,970x = 398,535,722,209,391,120,450,846,720 - Step 5: Solve for x
x = 398,535,722,209,391,120,450,846,720/23,066,923,243,970 - Step 6: Final answer
x = 17,277,368,030,154.33
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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.