Finding the Fourth Proportional to 11,847,806,902,542, 16,348,666,248,179 and 6,644,164,730,326.80
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Solution
The fourth proportional to 11,847,806,902,542, 16,348,666,248,179 and 6,644,164,730,326.80 is: 9,168,214,216,145.73
Step by Step Solution
- Step 1: Write the proportion equation
11,847,806,902,542 : 16,348,666,248,179 = 6,644,164,730,326.80 : x - Step 2: Convert to fraction form
11,847,806,902,542/16,348,666,248,179 = 6,644,164,730,326.80/x - Step 3: Cross multiply
11,847,806,902,542x = 16,348,666,248,179 × 6,644,164,730,326.80 - Step 4: Simplify right side
11,847,806,902,542x = 108,623,231,674,035,087,446,376,448 - Step 5: Solve for x
x = 108,623,231,674,035,087,446,376,448/11,847,806,902,542 - Step 6: Final answer
x = 9,168,214,216,145.73
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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.