Finding the Fourth Proportional to 459,832,245.80, 689,748,368.70 and 414,482,613.80
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Solution
The fourth proportional to 459,832,245.80, 689,748,368.70 and 414,482,613.80 is: 621,723,920.70
Step by Step Solution
- Step 1: Write the proportion equation
459,832,245.80 : 689,748,368.70 = 414,482,613.80 : x - Step 2: Convert to fraction form
459,832,245.80/689,748,368.70 = 414,482,613.80/x - Step 3: Cross multiply
459,832,245.80x = 689,748,368.70 × 414,482,613.80 - Step 4: Simplify right side
459,832,245.80x = 285,888,706,723,062,144 - Step 5: Solve for x
x = 285,888,706,723,062,144/459,832,245.80 - Step 6: Final answer
x = 621,723,920.70
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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.