Finding the Fourth Proportional to 259,465,542,576.60, 389,056,433,401.50 and 206,025,957,771.99
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Solution
The fourth proportional to 259,465,542,576.60, 389,056,433,401.50 and 206,025,957,771.99 is: 308,926,277,928.54
Step by Step Solution
- Step 1: Write the proportion equation
259,465,542,576.60 : 389,056,433,401.50 = 206,025,957,771.99 : x - Step 2: Convert to fraction form
259,465,542,576.60/389,056,433,401.50 = 206,025,957,771.99/x - Step 3: Cross multiply
259,465,542,576.60x = 389,056,433,401.50 × 206,025,957,771.99 - Step 4: Simplify right side
259,465,542,576.60x = 80,155,724,318,898,470,780,928 - Step 5: Solve for x
x = 80,155,724,318,898,470,780,928/259,465,542,576.60 - Step 6: Final answer
x = 308,926,277,928.54
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1.5x scale
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.