Finding the Fourth Proportional to 2,982,323,014.36, 4,115,610,294.78 and 1,662,195,226.84
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Solution
The fourth proportional to 2,982,323,014.36, 4,115,610,294.78 and 1,662,195,226.84 is: 2,293,831,940.60
Step by Step Solution
- Step 1: Write the proportion equation
2,982,323,014.36 : 4,115,610,294.78 = 1,662,195,226.84 : x - Step 2: Convert to fraction form
2,982,323,014.36/4,115,610,294.78 = 1,662,195,226.84/x - Step 3: Cross multiply
2,982,323,014.36x = 4,115,610,294.78 × 1,662,195,226.84 - Step 4: Simplify right side
2,982,323,014.36x = 6,840,947,787,516,880,896 - Step 5: Solve for x
x = 6,840,947,787,516,880,896/2,982,323,014.36 - Step 6: Final answer
x = 2,293,831,940.60
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1.5x scale
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.