Finding the Fourth Proportional to 20,686,265,654,154, 31,029,428,345,120 and 8,447,676,064,191
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Solution
The fourth proportional to 20,686,265,654,154, 31,029,428,345,120 and 8,447,676,064,191 is: 12,671,526,291,840.04
Step by Step Solution
- Step 1: Write the proportion equation
20,686,265,654,154 : 31,029,428,345,120 = 8,447,676,064,191 : x - Step 2: Convert to fraction form
20,686,265,654,154/31,029,428,345,120 = 8,447,676,064,191/x - Step 3: Cross multiply
20,686,265,654,154x = 31,029,428,345,120 × 8,447,676,064,191 - Step 4: Simplify right side
20,686,265,654,154x = 262,126,559,116,599,974,617,415,680 - Step 5: Solve for x
x = 262,126,559,116,599,974,617,415,680/20,686,265,654,154 - Step 6: Final answer
x = 12,671,526,291,840.04
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.