Finding the Fourth Proportional to 277,036,190,505.65, 415,616,946,389.08 and 149,548,145,874.36
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Solution
The fourth proportional to 277,036,190,505.65, 415,616,946,389.08 and 149,548,145,874.36 is: 224,356,043,926.99
Step by Step Solution
- Step 1: Write the proportion equation
277,036,190,505.65 : 415,616,946,389.08 = 149,548,145,874.36 : x - Step 2: Convert to fraction form
277,036,190,505.65/415,616,946,389.08 = 149,548,145,874.36/x - Step 3: Cross multiply
277,036,190,505.65x = 415,616,946,389.08 × 149,548,145,874.36 - Step 4: Simplify right side
277,036,190,505.65x = 62,154,743,726,450,189,271,040 - Step 5: Solve for x
x = 62,154,743,726,450,189,271,040/277,036,190,505.65 - Step 6: Final answer
x = 224,356,043,926.99
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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.