Finding the Fourth Proportional to 509,605,414.36, 703,244,449.18 and 295,033,107.66
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Solution
The fourth proportional to 509,605,414.36, 703,244,449.18 and 295,033,107.66 is: 407,139,307.08
Step by Step Solution
- Step 1: Write the proportion equation
509,605,414.36 : 703,244,449.18 = 295,033,107.66 : x - Step 2: Convert to fraction form
509,605,414.36/703,244,449.18 = 295,033,107.66/x - Step 3: Cross multiply
509,605,414.36x = 703,244,449.18 × 295,033,107.66 - Step 4: Simplify right side
509,605,414.36x = 207,480,395,286,220,352 - Step 5: Solve for x
x = 207,480,395,286,220,352/509,605,414.36 - Step 6: Final answer
x = 407,139,307.08
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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.