Finding the Fourth Proportional to 20,686,265,654,516, 31,029,428,345,684 and 8,447,676,064,568
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Solution
The fourth proportional to 20,686,265,654,516, 31,029,428,345,684 and 8,447,676,064,568 is: 12,671,526,292,414.11
Step by Step Solution
- Step 1: Write the proportion equation
20,686,265,654,516 : 31,029,428,345,684 = 8,447,676,064,568 : x - Step 2: Convert to fraction form
20,686,265,654,516/31,029,428,345,684 = 8,447,676,064,568/x - Step 3: Cross multiply
20,686,265,654,516x = 31,029,428,345,684 × 8,447,676,064,568 - Step 4: Simplify right side
20,686,265,654,516x = 262,126,559,133,062,549,903,245,312 - Step 5: Solve for x
x = 262,126,559,133,062,549,903,245,312/20,686,265,654,516 - Step 6: Final answer
x = 12,671,526,292,414.11
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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.