Finding the Fourth Proportional to 5,438,022,513,665, 8,153,012,441,102.10 and 3,288,656,514,407.60
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Solution
The fourth proportional to 5,438,022,513,665, 8,153,012,441,102.10 and 3,288,656,514,407.60 is: 4,930,552,863,490.47
Step by Step Solution
- Step 1: Write the proportion equation
5,438,022,513,665 : 8,153,012,441,102.10 = 3,288,656,514,407.60 : x - Step 2: Convert to fraction form
5,438,022,513,665/8,153,012,441,102.10 = 3,288,656,514,407.60/x - Step 3: Cross multiply
5,438,022,513,665x = 8,153,012,441,102.10 × 3,288,656,514,407.60 - Step 4: Simplify right side
5,438,022,513,665x = 26,812,457,476,476,631,041,179,648 - Step 5: Solve for x
x = 26,812,457,476,476,631,041,179,648/5,438,022,513,665 - Step 6: Final answer
x = 4,930,552,863,490.47
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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.