Finding the Fourth Proportional to 3,640,947,133.86, 5,024,515,778.73 and 1,970,214,202.98
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Solution
The fourth proportional to 3,640,947,133.86, 5,024,515,778.73 and 1,970,214,202.98 is: 2,718,900,326.32
Step by Step Solution
- Step 1: Write the proportion equation
3,640,947,133.86 : 5,024,515,778.73 = 1,970,214,202.98 : x - Step 2: Convert to fraction form
3,640,947,133.86/5,024,515,778.73 = 1,970,214,202.98/x - Step 3: Cross multiply
3,640,947,133.86x = 5,024,515,778.73 × 1,970,214,202.98 - Step 4: Simplify right side
3,640,947,133.86x = 9,899,372,350,350,960,640 - Step 5: Solve for x
x = 9,899,372,350,350,960,640/3,640,947,133.86 - Step 6: Final answer
x = 2,718,900,326.32
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1.5x scale
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.