Finding the Fourth Proportional to 13,052,345,084,497, 18,012,292,215,169 and 7,119,729,057,684.40
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Solution
The fourth proportional to 13,052,345,084,497, 18,012,292,215,169 and 7,119,729,057,684.40 is: 9,825,256,645,425.52
Step by Step Solution
- Step 1: Write the proportion equation
13,052,345,084,497 : 18,012,292,215,169 = 7,119,729,057,684.40 : x - Step 2: Convert to fraction form
13,052,345,084,497/18,012,292,215,169 = 7,119,729,057,684.40/x - Step 3: Cross multiply
13,052,345,084,497x = 18,012,292,215,169 × 7,119,729,057,684.40 - Step 4: Simplify right side
13,052,345,084,497x = 128,242,640,279,841,242,332,790,784 - Step 5: Solve for x
x = 128,242,640,279,841,242,332,790,784/13,052,345,084,497 - Step 6: Final answer
x = 9,825,256,645,425.52
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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.