Finding the Fourth Proportional to 11,847,806,902,537, 16,348,666,248,174 and 6,644,164,730,321.80
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Solution
The fourth proportional to 11,847,806,902,537, 16,348,666,248,174 and 6,644,164,730,321.80 is: 9,168,214,216,139.90
Step by Step Solution
- Step 1: Write the proportion equation
11,847,806,902,537 : 16,348,666,248,174 = 6,644,164,730,321.80 : x - Step 2: Convert to fraction form
11,847,806,902,537/16,348,666,248,174 = 6,644,164,730,321.80/x - Step 3: Cross multiply
11,847,806,902,537x = 16,348,666,248,174 × 6,644,164,730,321.80 - Step 4: Simplify right side
11,847,806,902,537x = 108,623,231,673,920,119,761,797,120 - Step 5: Solve for x
x = 108,623,231,673,920,119,761,797,120/11,847,806,902,537 - Step 6: Final answer
x = 9,168,214,216,139.90
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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.