Finding the Fourth Proportional to 2,069,757,414.20, 3,106,147,775.70 and 1,457,537,382.20
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Solution
The fourth proportional to 2,069,757,414.20, 3,106,147,775.70 and 1,457,537,382.20 is: 2,187,370,590.71
Step by Step Solution
- Step 1: Write the proportion equation
2,069,757,414.20 : 3,106,147,775.70 = 1,457,537,382.20 : x - Step 2: Convert to fraction form
2,069,757,414.20/3,106,147,775.70 = 1,457,537,382.20/x - Step 3: Cross multiply
2,069,757,414.20x = 3,106,147,775.70 × 1,457,537,382.20 - Step 4: Simplify right side
2,069,757,414.20x = 4,527,326,497,720,130,560 - Step 5: Solve for x
x = 4,527,326,497,720,130,560/2,069,757,414.20 - Step 6: Final answer
x = 2,187,370,590.71
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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.