Finding the Fourth Proportional to 6,141,460,257,297, 8,475,481,567,189.60 and 3,401,011,161,128.20
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Solution
The fourth proportional to 6,141,460,257,297, 8,475,481,567,189.60 and 3,401,011,161,128.20 is: 4,693,542,935,769.94
Step by Step Solution
- Step 1: Write the proportion equation
6,141,460,257,297 : 8,475,481,567,189.60 = 3,401,011,161,128.20 : x - Step 2: Convert to fraction form
6,141,460,257,297/8,475,481,567,189.60 = 3,401,011,161,128.20/x - Step 3: Cross multiply
6,141,460,257,297x = 8,475,481,567,189.60 × 3,401,011,161,128.20 - Step 4: Simplify right side
6,141,460,257,297x = 28,825,207,405,948,156,619,259,904 - Step 5: Solve for x
x = 28,825,207,405,948,156,619,259,904/6,141,460,257,297 - Step 6: Final answer
x = 4,693,542,935,769.94
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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.