Finding the Fourth Proportional to 2,125,766,498.40, 3,188,649,747.60 and 2,048,282,400.60
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Solution
The fourth proportional to 2,125,766,498.40, 3,188,649,747.60 and 2,048,282,400.60 is: 3,072,423,600.90
Step by Step Solution
- Step 1: Write the proportion equation
2,125,766,498.40 : 3,188,649,747.60 = 2,048,282,400.60 : x - Step 2: Convert to fraction form
2,125,766,498.40/3,188,649,747.60 = 2,048,282,400.60/x - Step 3: Cross multiply
2,125,766,498.40x = 3,188,649,747.60 × 2,048,282,400.60 - Step 4: Simplify right side
2,125,766,498.40x = 6,531,255,159,686,711,296 - Step 5: Solve for x
x = 6,531,255,159,686,711,296/2,125,766,498.40 - Step 6: Final answer
x = 3,072,423,600.90
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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.