Finding the Fourth Proportional to 878,705,223,678.75, 1,318,062,278,448.50 and 274,279,762,091.91
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Solution
The fourth proportional to 878,705,223,678.75, 1,318,062,278,448.50 and 274,279,762,091.91 is: 411,421,029,957.76
Step by Step Solution
- Step 1: Write the proportion equation
878,705,223,678.75 : 1,318,062,278,448.50 = 274,279,762,091.91 : x - Step 2: Convert to fraction form
878,705,223,678.75/1,318,062,278,448.50 = 274,279,762,091.91/x - Step 3: Cross multiply
878,705,223,678.75x = 1,318,062,278,448.50 × 274,279,762,091.91 - Step 4: Simplify right side
878,705,223,678.75x = 361,517,808,155,175,438,778,368 - Step 5: Solve for x
x = 361,517,808,155,175,438,778,368/878,705,223,678.75 - Step 6: Final answer
x = 411,421,029,957.76
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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.