Finding the Fourth Proportional to 23,204,169,082,114, 32,021,852,886,300 and 12,657,296,145,533
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Solution
The fourth proportional to 23,204,169,082,114, 32,021,852,886,300 and 12,657,296,145,533 is: 17,467,122,984,507.42
Step by Step Solution
- Step 1: Write the proportion equation
23,204,169,082,114 : 32,021,852,886,300 = 12,657,296,145,533 : x - Step 2: Convert to fraction form
23,204,169,082,114/32,021,852,886,300 = 12,657,296,145,533/x - Step 3: Cross multiply
23,204,169,082,114x = 32,021,852,886,300 × 12,657,296,145,533 - Step 4: Simplify right side
23,204,169,082,114x = 405,310,075,110,589,784,332,959,744 - Step 5: Solve for x
x = 405,310,075,110,589,784,332,959,744/23,204,169,082,114 - Step 6: Final answer
x = 17,467,122,984,507.42
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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.