Finding the Fourth Proportional to 1,660,427,935.97, 2,492,365,243.56 and 962,284,107.56
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Solution
The fourth proportional to 1,660,427,935.97, 2,492,365,243.56 and 962,284,107.56 is: 1,444,424,905.26
Step by Step Solution
- Step 1: Write the proportion equation
1,660,427,935.97 : 2,492,365,243.56 = 962,284,107.56 : x - Step 2: Convert to fraction form
1,660,427,935.97/2,492,365,243.56 = 962,284,107.56/x - Step 3: Cross multiply
1,660,427,935.97x = 2,492,365,243.56 × 962,284,107.56 - Step 4: Simplify right side
1,660,427,935.97x = 2,398,363,464,112,696,320 - Step 5: Solve for x
x = 2,398,363,464,112,696,320/1,660,427,935.97 - Step 6: Final answer
x = 1,444,424,905.26
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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.