Finding the Fourth Proportional to 4,647,223,646.24, 6,413,190,349.72 and 2,640,168,913.38
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Solution
The fourth proportional to 4,647,223,646.24, 6,413,190,349.72 and 2,640,168,913.38 is: 3,643,445,438.79
Step by Step Solution
- Step 1: Write the proportion equation
4,647,223,646.24 : 6,413,190,349.72 = 2,640,168,913.38 : x - Step 2: Convert to fraction form
4,647,223,646.24/6,413,190,349.72 = 2,640,168,913.38/x - Step 3: Cross multiply
4,647,223,646.24x = 6,413,190,349.72 × 2,640,168,913.38 - Step 4: Simplify right side
4,647,223,646.24x = 16,931,905,796,948,174,848 - Step 5: Solve for x
x = 16,931,905,796,948,174,848/4,647,223,646.24 - Step 6: Final answer
x = 3,643,445,438.79
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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.