Finding the Fourth Proportional to 349,119,831,409.80, 523,679,747,114.70 and 349,119,831,409.80
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Solution
The fourth proportional to 349,119,831,409.80, 523,679,747,114.70 and 349,119,831,409.80 is: 523,679,747,114.70
Step by Step Solution
- Step 1: Write the proportion equation
349,119,831,409.80 : 523,679,747,114.70 = 349,119,831,409.80 : x - Step 2: Convert to fraction form
349,119,831,409.80/523,679,747,114.70 = 349,119,831,409.80/x - Step 3: Cross multiply
349,119,831,409.80x = 523,679,747,114.70 × 349,119,831,409.80 - Step 4: Simplify right side
349,119,831,409.80x = 182,826,985,025,410,768,568,320 - Step 5: Solve for x
x = 182,826,985,025,410,768,568,320/349,119,831,409.80 - Step 6: Final answer
x = 523,679,747,114.70
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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.