Finding the Fourth Proportional to 1,454,414,958,032.40, 2,006,759,748,608.20 and 868,350,949,237.08
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Solution
The fourth proportional to 1,454,414,958,032.40, 2,006,759,748,608.20 and 868,350,949,237.08 is: 1,198,125,557,613.99
Step by Step Solution
- Step 1: Write the proportion equation
1,454,414,958,032.40 : 2,006,759,748,608.20 = 868,350,949,237.08 : x - Step 2: Convert to fraction form
1,454,414,958,032.40/2,006,759,748,608.20 = 868,350,949,237.08/x - Step 3: Cross multiply
1,454,414,958,032.40x = 2,006,759,748,608.20 × 868,350,949,237.08 - Step 4: Simplify right side
1,454,414,958,032.40x = 1,742,571,732,594,694,452,936,704 - Step 5: Solve for x
x = 1,742,571,732,594,694,452,936,704/1,454,414,958,032.40 - Step 6: Final answer
x = 1,198,125,557,613.99
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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.