Finding the Fourth Proportional to 1,942,098,546.24, 2,680,090,952.87 and 1,083,764,125.21
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Solution
The fourth proportional to 1,942,098,546.24, 2,680,090,952.87 and 1,083,764,125.21 is: 1,495,591,679.76
Step by Step Solution
- Step 1: Write the proportion equation
1,942,098,546.24 : 2,680,090,952.87 = 1,083,764,125.21 : x - Step 2: Convert to fraction form
1,942,098,546.24/2,680,090,952.87 = 1,083,764,125.21/x - Step 3: Cross multiply
1,942,098,546.24x = 2,680,090,952.87 × 1,083,764,125.21 - Step 4: Simplify right side
1,942,098,546.24x = 2,904,586,427,026,584,064 - Step 5: Solve for x
x = 2,904,586,427,026,584,064/1,942,098,546.24 - Step 6: Final answer
x = 1,495,591,679.76
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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.