Finding the Fourth Proportional to 12,422,964,816,102, 18,634,447,224,154 and 12,422,964,816,102
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Solution
The fourth proportional to 12,422,964,816,102, 18,634,447,224,154 and 12,422,964,816,102 is: 18,634,447,224,154
Step by Step Solution
- Step 1: Write the proportion equation
12,422,964,816,102 : 18,634,447,224,154 = 12,422,964,816,102 : x - Step 2: Convert to fraction form
12,422,964,816,102/18,634,447,224,154 = 12,422,964,816,102/x - Step 3: Cross multiply
12,422,964,816,102x = 18,634,447,224,154 × 12,422,964,816,102 - Step 4: Simplify right side
12,422,964,816,102x = 231,495,082,233,174,730,727,227,392 - Step 5: Solve for x
x = 231,495,082,233,174,730,727,227,392/12,422,964,816,102 - Step 6: Final answer
x = 18,634,447,224,154
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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.