Finding the Fourth Proportional to 337,760,982,345.06, 466,119,257,966.72 and 198,721,969,516.08
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Solution
The fourth proportional to 337,760,982,345.06, 466,119,257,966.72 and 198,721,969,516.08 is: 274,241,673,296.33
Step by Step Solution
- Step 1: Write the proportion equation
337,760,982,345.06 : 466,119,257,966.72 = 198,721,969,516.08 : x - Step 2: Convert to fraction form
337,760,982,345.06/466,119,257,966.72 = 198,721,969,516.08/x - Step 3: Cross multiply
337,760,982,345.06x = 466,119,257,966.72 × 198,721,969,516.08 - Step 4: Simplify right side
337,760,982,345.06x = 92,628,136,972,520,345,567,232 - Step 5: Solve for x
x = 92,628,136,972,520,345,567,232/337,760,982,345.06 - Step 6: Final answer
x = 274,241,673,296.33
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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.