Finding the Fourth Proportional to 551,188,207,400.70, 826,782,311,101.02 and 551,188,207,400.70
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Solution
The fourth proportional to 551,188,207,400.70, 826,782,311,101.02 and 551,188,207,400.70 is: 826,782,311,101.02
Step by Step Solution
- Step 1: Write the proportion equation
551,188,207,400.70 : 826,782,311,101.02 = 551,188,207,400.70 : x - Step 2: Convert to fraction form
551,188,207,400.70/826,782,311,101.02 = 551,188,207,400.70/x - Step 3: Cross multiply
551,188,207,400.70x = 826,782,311,101.02 × 551,188,207,400.70 - Step 4: Simplify right side
551,188,207,400.70x = 455,712,659,966,379,058,790,400 - Step 5: Solve for x
x = 455,712,659,966,379,058,790,400/551,188,207,400.70 - Step 6: Final answer
x = 826,782,311,101.02
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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.