Finding the Fourth Proportional to 4,540,623,239,963, 6,810,952,530,274.90 and 1,098,514,394,699.80
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Solution
The fourth proportional to 4,540,623,239,963, 6,810,952,530,274.90 and 1,098,514,394,699.80 is: 1,647,775,867,038.24
Step by Step Solution
- Step 1: Write the proportion equation
4,540,623,239,963 : 6,810,952,530,274.90 = 1,098,514,394,699.80 : x - Step 2: Convert to fraction form
4,540,623,239,963/6,810,952,530,274.90 = 1,098,514,394,699.80/x - Step 3: Cross multiply
4,540,623,239,963x = 6,810,952,530,274.90 × 1,098,514,394,699.80 - Step 4: Simplify right side
4,540,623,239,963x = 7,481,929,396,124,004,185,538,560 - Step 5: Solve for x
x = 7,481,929,396,124,004,185,538,560/4,540,623,239,963 - Step 6: Final answer
x = 1,647,775,867,038.24
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.