Finding the Fourth Proportional to 22,230,431,980,646, 30,678,740,228,136 and 12,354,091,740,224
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Solution
The fourth proportional to 22,230,431,980,646, 30,678,740,228,136 and 12,354,091,740,224 is: 17,049,060,116,459.28
Step by Step Solution
- Step 1: Write the proportion equation
22,230,431,980,646 : 30,678,740,228,136 = 12,354,091,740,224 : x - Step 2: Convert to fraction form
22,230,431,980,646/30,678,740,228,136 = 12,354,091,740,224/x - Step 3: Cross multiply
22,230,431,980,646x = 30,678,740,228,136 × 12,354,091,740,224 - Step 4: Simplify right side
22,230,431,980,646x = 379,007,971,252,892,680,815,902,720 - Step 5: Solve for x
x = 379,007,971,252,892,680,815,902,720/22,230,431,980,646 - Step 6: Final answer
x = 17,049,060,116,459.28
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1.5x scale
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.