Finding the Fourth Proportional to 1,602,916,051,737.40, 2,212,025,576,757.10 and 871,304,458,316.50
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Solution
The fourth proportional to 1,602,916,051,737.40, 2,212,025,576,757.10 and 871,304,458,316.50 is: 1,202,400,927,265.99
Step by Step Solution
- Step 1: Write the proportion equation
1,602,916,051,737.40 : 2,212,025,576,757.10 = 871,304,458,316.50 : x - Step 2: Convert to fraction form
1,602,916,051,737.40/2,212,025,576,757.10 = 871,304,458,316.50/x - Step 3: Cross multiply
1,602,916,051,737.40x = 2,212,025,576,757.10 × 871,304,458,316.50 - Step 4: Simplify right side
1,602,916,051,737.40x = 1,927,347,746,938,588,508,454,912 - Step 5: Solve for x
x = 1,927,347,746,938,588,508,454,912/1,602,916,051,737.40 - Step 6: Final answer
x = 1,202,400,927,265.99
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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.