Finding the Fourth Proportional to 5,214,726,007.20, 7,822,089,010.80 and 4,740,255,482.40
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Solution
The fourth proportional to 5,214,726,007.20, 7,822,089,010.80 and 4,740,255,482.40 is: 7,110,383,223.60
Step by Step Solution
- Step 1: Write the proportion equation
5,214,726,007.20 : 7,822,089,010.80 = 4,740,255,482.40 : x - Step 2: Convert to fraction form
5,214,726,007.20/7,822,089,010.80 = 4,740,255,482.40/x - Step 3: Cross multiply
5,214,726,007.20x = 7,822,089,010.80 × 4,740,255,482.40 - Step 4: Simplify right side
5,214,726,007.20x = 37,078,700,317,265,494,016 - Step 5: Solve for x
x = 37,078,700,317,265,494,016/5,214,726,007.20 - Step 6: Final answer
x = 7,110,383,223.60
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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.