Finding the Fourth Proportional to 980,683,872.16, 1,470,583,129.20 and 281,015,973.76
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Solution
The fourth proportional to 980,683,872.16, 1,470,583,129.20 and 281,015,973.76 is: 421,397,110.51
Step by Step Solution
- Step 1: Write the proportion equation
980,683,872.16 : 1,470,583,129.20 = 281,015,973.76 : x - Step 2: Convert to fraction form
980,683,872.16/1,470,583,129.20 = 281,015,973.76/x - Step 3: Cross multiply
980,683,872.16x = 1,470,583,129.20 × 281,015,973.76 - Step 4: Simplify right side
980,683,872.16x = 413,257,350,047,165,888 - Step 5: Solve for x
x = 413,257,350,047,165,888/980,683,872.16 - Step 6: Final answer
x = 421,397,110.51
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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.