Finding the Fourth Proportional to 8,223,295,957.98, 11,348,286,427.92 and 4,464,106,524.30
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Solution
The fourth proportional to 8,223,295,957.98, 11,348,286,427.92 and 4,464,106,524.30 is: 6,160,541,921.56
Step by Step Solution
- Step 1: Write the proportion equation
8,223,295,957.98 : 11,348,286,427.92 = 4,464,106,524.30 : x - Step 2: Convert to fraction form
8,223,295,957.98/11,348,286,427.92 = 4,464,106,524.30/x - Step 3: Cross multiply
8,223,295,957.98x = 11,348,286,427.92 × 4,464,106,524.30 - Step 4: Simplify right side
8,223,295,957.98x = 50,659,959,482,502,815,744 - Step 5: Solve for x
x = 50,659,959,482,502,815,744/8,223,295,957.98 - Step 6: Final answer
x = 6,160,541,921.56
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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.