Finding the Fourth Proportional to 46,947,172,764,349, 70,452,926,359,934 and 16,385,207,836,773
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Solution
The fourth proportional to 46,947,172,764,349, 70,452,926,359,934 and 16,385,207,836,773 is: 24,589,038,554,266.37
Step by Step Solution
- Step 1: Write the proportion equation
46,947,172,764,349 : 70,452,926,359,934 = 16,385,207,836,773 : x - Step 2: Convert to fraction form
46,947,172,764,349/70,452,926,359,934 = 16,385,207,836,773/x - Step 3: Cross multiply
46,947,172,764,349x = 70,452,926,359,934 × 16,385,207,836,773 - Step 4: Simplify right side
46,947,172,764,349x = 1,154,385,841,116,381,706,056,630,272 - Step 5: Solve for x
x = 1,154,385,841,116,381,706,056,630,272/46,947,172,764,349 - Step 6: Final answer
x = 24,589,038,554,266.37
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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.