Finding the Fourth Proportional to 13,635,769,406,531, 18,817,211,872,133 and 7,385,478,942,000
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Solution
The fourth proportional to 13,635,769,406,531, 18,817,211,872,133 and 7,385,478,942,000 is: 10,191,879,745,504.31
Step by Step Solution
- Step 1: Write the proportion equation
13,635,769,406,531 : 18,817,211,872,133 = 7,385,478,942,000 : x - Step 2: Convert to fraction form
13,635,769,406,531/18,817,211,872,133 = 7,385,478,942,000/x - Step 3: Cross multiply
13,635,769,406,531x = 18,817,211,872,133 × 7,385,478,942,000 - Step 4: Simplify right side
13,635,769,406,531x = 138,974,122,028,790,662,238,830,592 - Step 5: Solve for x
x = 138,974,122,028,790,662,238,830,592/13,635,769,406,531 - Step 6: Final answer
x = 10,191,879,745,504.31
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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.