Finding the Fourth Proportional to 46,278,147,197,600, 63,863,853,557,038 and 25,467,861,873,576
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Solution
The fourth proportional to 46,278,147,197,600, 63,863,853,557,038 and 25,467,861,873,576 is: 35,145,655,122,279.37
Step by Step Solution
- Step 1: Write the proportion equation
46,278,147,197,600 : 63,863,853,557,038 = 25,467,861,873,576 : x - Step 2: Convert to fraction form
46,278,147,197,600/63,863,853,557,038 = 25,467,861,873,576/x - Step 3: Cross multiply
46,278,147,197,600x = 63,863,853,557,038 × 25,467,861,873,576 - Step 4: Simplify right side
46,278,147,197,600x = 1,626,475,801,104,929,059,988,570,112 - Step 5: Solve for x
x = 1,626,475,801,104,929,059,988,570,112/46,278,147,197,600 - Step 6: Final answer
x = 35,145,655,122,279.37
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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.