Finding the Fourth Proportional to 1,628,587,997,414.50, 2,247,553,504,512.40 and 896,976,258,511.68
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Solution
The fourth proportional to 1,628,587,997,414.50, 2,247,553,504,512.40 and 896,976,258,511.68 is: 1,237,883,452,710.50
Step by Step Solution
- Step 1: Write the proportion equation
1,628,587,997,414.50 : 2,247,553,504,512.40 = 896,976,258,511.68 : x - Step 2: Convert to fraction form
1,628,587,997,414.50/2,247,553,504,512.40 = 896,976,258,511.68/x - Step 3: Cross multiply
1,628,587,997,414.50x = 2,247,553,504,512.40 × 896,976,258,511.68 - Step 4: Simplify right side
1,628,587,997,414.50x = 2,016,002,133,282,346,755,948,544 - Step 5: Solve for x
x = 2,016,002,133,282,346,755,948,544/1,628,587,997,414.50 - Step 6: Final answer
x = 1,237,883,452,710.50
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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.