Finding the Fourth Proportional to 1,635,419,827.44, 2,453,434,434.81 and 529,926,100.74
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Solution
The fourth proportional to 1,635,419,827.44, 2,453,434,434.81 and 529,926,100.74 is: 794,987,881.18
Step by Step Solution
- Step 1: Write the proportion equation
1,635,419,827.44 : 2,453,434,434.81 = 529,926,100.74 : x - Step 2: Convert to fraction form
1,635,419,827.44/2,453,434,434.81 = 529,926,100.74/x - Step 3: Cross multiply
1,635,419,827.44x = 2,453,434,434.81 × 529,926,100.74 - Step 4: Simplify right side
1,635,419,827.44x = 1,300,138,943,460,109,056 - Step 5: Solve for x
x = 1,300,138,943,460,109,056/1,635,419,827.44 - Step 6: Final answer
x = 794,987,881.18
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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.