Finding the Fourth Proportional to 497,872,711.80, 746,809,067.70 and 268,290,199.80
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Solution
The fourth proportional to 497,872,711.80, 746,809,067.70 and 268,290,199.80 is: 402,435,299.70
Step by Step Solution
- Step 1: Write the proportion equation
497,872,711.80 : 746,809,067.70 = 268,290,199.80 : x - Step 2: Convert to fraction form
497,872,711.80/746,809,067.70 = 268,290,199.80/x - Step 3: Cross multiply
497,872,711.80x = 746,809,067.70 × 268,290,199.80 - Step 4: Simplify right side
497,872,711.80x = 200,361,553,985,684,736 - Step 5: Solve for x
x = 200,361,553,985,684,736/497,872,711.80 - Step 6: Final answer
x = 402,435,299.70
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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.