Finding the Fourth Proportional to 837,772,151,239.92, 1,256,834,717,322.50 and 271,765,642,833.84
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Solution
The fourth proportional to 837,772,151,239.92, 1,256,834,717,322.50 and 271,765,642,833.84 is: 407,705,716,146.70
Step by Step Solution
- Step 1: Write the proportion equation
837,772,151,239.92 : 1,256,834,717,322.50 = 271,765,642,833.84 : x - Step 2: Convert to fraction form
837,772,151,239.92/1,256,834,717,322.50 = 271,765,642,833.84/x - Step 3: Cross multiply
837,772,151,239.92x = 1,256,834,717,322.50 × 271,765,642,833.84 - Step 4: Simplify right side
837,772,151,239.92x = 341,564,494,889,036,780,929,024 - Step 5: Solve for x
x = 341,564,494,889,036,780,929,024/837,772,151,239.92 - Step 6: Final answer
x = 407,705,716,146.70
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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.