Finding the Fourth Proportional to 512,351,993,237.15, 768,373,260,808.53 and 154,108,866,680.75
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Solution
The fourth proportional to 512,351,993,237.15, 768,373,260,808.53 and 154,108,866,680.75 is: 231,116,759,520.80
Step by Step Solution
- Step 1: Write the proportion equation
512,351,993,237.15 : 768,373,260,808.53 = 154,108,866,680.75 : x - Step 2: Convert to fraction form
512,351,993,237.15/768,373,260,808.53 = 154,108,866,680.75/x - Step 3: Cross multiply
512,351,993,237.15x = 768,373,260,808.53 × 154,108,866,680.75 - Step 4: Simplify right side
512,351,993,237.15x = 118,413,132,410,994,909,249,536 - Step 5: Solve for x
x = 118,413,132,410,994,909,249,536/512,351,993,237.15 - Step 6: Final answer
x = 231,116,759,520.80
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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.