Finding the Fourth Proportional to 279,364,376,284.26, 419,046,563,952.79 and 67,128,508,782.18
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Solution
The fourth proportional to 279,364,376,284.26, 419,046,563,952.79 and 67,128,508,782.18 is: 100,692,763,059.47
Step by Step Solution
- Step 1: Write the proportion equation
279,364,376,284.26 : 419,046,563,952.79 = 67,128,508,782.18 : x - Step 2: Convert to fraction form
279,364,376,284.26/419,046,563,952.79 = 67,128,508,782.18/x - Step 3: Cross multiply
279,364,376,284.26x = 419,046,563,952.79 × 67,128,508,782.18 - Step 4: Simplify right side
279,364,376,284.26x = 28,129,970,948,447,213,191,168 - Step 5: Solve for x
x = 28,129,970,948,447,213,191,168/279,364,376,284.26 - Step 6: Final answer
x = 100,692,763,059.47
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1.5x scale
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.