Finding the Fourth Proportional to 13,213,467,705,087, 19,820,201,557,631 and 13,213,467,705,087
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Solution
The fourth proportional to 13,213,467,705,087, 19,820,201,557,631 and 13,213,467,705,087 is: 19,820,201,557,631
Step by Step Solution
- Step 1: Write the proportion equation
13,213,467,705,087 : 19,820,201,557,631 = 13,213,467,705,087 : x - Step 2: Convert to fraction form
13,213,467,705,087/19,820,201,557,631 = 13,213,467,705,087/x - Step 3: Cross multiply
13,213,467,705,087x = 19,820,201,557,631 × 13,213,467,705,087 - Step 4: Simplify right side
13,213,467,705,087x = 261,893,593,190,072,276,731,559,936 - Step 5: Solve for x
x = 261,893,593,190,072,276,731,559,936/13,213,467,705,087 - Step 6: Final answer
x = 19,820,201,557,631
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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.