Finding the Fourth Proportional to 1,529,375,310,726.10, 2,110,527,192,249.90 and 834,915,868,503.40
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Solution
The fourth proportional to 1,529,375,310,726.10, 2,110,527,192,249.90 and 834,915,868,503.40 is: 1,152,178,037,241.08
Step by Step Solution
- Step 1: Write the proportion equation
1,529,375,310,726.10 : 2,110,527,192,249.90 = 834,915,868,503.40 : x - Step 2: Convert to fraction form
1,529,375,310,726.10/2,110,527,192,249.90 = 834,915,868,503.40/x - Step 3: Cross multiply
1,529,375,310,726.10x = 2,110,527,192,249.90 × 834,915,868,503.40 - Step 4: Simplify right side
1,529,375,310,726.10x = 1,762,112,643,717,367,389,487,104 - Step 5: Solve for x
x = 1,762,112,643,717,367,389,487,104/1,529,375,310,726.10 - Step 6: Final answer
x = 1,152,178,037,241.08
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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.