Finding the Fourth Proportional to 512,351,993,242.16, 768,373,260,816.04 and 154,108,866,685.76
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Solution
The fourth proportional to 512,351,993,242.16, 768,373,260,816.04 and 154,108,866,685.76 is: 231,116,759,528.32
Step by Step Solution
- Step 1: Write the proportion equation
512,351,993,242.16 : 768,373,260,816.04 = 154,108,866,685.76 : x - Step 2: Convert to fraction form
512,351,993,242.16/768,373,260,816.04 = 154,108,866,685.76/x - Step 3: Cross multiply
512,351,993,242.16x = 768,373,260,816.04 × 154,108,866,685.76 - Step 4: Simplify right side
512,351,993,242.16x = 118,413,132,416,001,817,706,496 - Step 5: Solve for x
x = 118,413,132,416,001,817,706,496/512,351,993,242.16 - Step 6: Final answer
x = 231,116,759,528.32
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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.