Finding the Fourth Proportional to 209,660,447,125.80, 314,490,670,688.70 and 209,660,447,125.80
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Solution
The fourth proportional to 209,660,447,125.80, 314,490,670,688.70 and 209,660,447,125.80 is: 314,490,670,688.70
Step by Step Solution
- Step 1: Write the proportion equation
209,660,447,125.80 : 314,490,670,688.70 = 209,660,447,125.80 : x - Step 2: Convert to fraction form
209,660,447,125.80/314,490,670,688.70 = 209,660,447,125.80/x - Step 3: Cross multiply
209,660,447,125.80x = 314,490,670,688.70 × 209,660,447,125.80 - Step 4: Simplify right side
209,660,447,125.80x = 65,936,254,633,485,568,835,584 - Step 5: Solve for x
x = 65,936,254,633,485,568,835,584/209,660,447,125.80 - Step 6: Final answer
x = 314,490,670,688.70
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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.