Finding the Fourth Proportional to 2,469,497,777.52, 3,403,197,237.60 and 2,424,107,401.44
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Solution
The fourth proportional to 2,469,497,777.52, 3,403,197,237.60 and 2,424,107,401.44 is: 3,340,645,084.73
Step by Step Solution
- Step 1: Write the proportion equation
2,469,497,777.52 : 3,403,197,237.60 = 2,424,107,401.44 : x - Step 2: Convert to fraction form
2,469,497,777.52/3,403,197,237.60 = 2,424,107,401.44/x - Step 3: Cross multiply
2,469,497,777.52x = 3,403,197,237.60 × 2,424,107,401.44 - Step 4: Simplify right side
2,469,497,777.52x = 8,249,715,612,226,322,432 - Step 5: Solve for x
x = 8,249,715,612,226,322,432/2,469,497,777.52 - Step 6: Final answer
x = 3,340,645,084.73
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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.