Finding the Fourth Proportional to 293,751,146,095.99, 440,827,991,236.67 and 102,523,183,706.24
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Solution
The fourth proportional to 293,751,146,095.99, 440,827,991,236.67 and 102,523,183,706.24 is: 153,855,022,283.53
Step by Step Solution
- Step 1: Write the proportion equation
293,751,146,095.99 : 440,827,991,236.67 = 102,523,183,706.24 : x - Step 2: Convert to fraction form
293,751,146,095.99/440,827,991,236.67 = 102,523,183,706.24/x - Step 3: Cross multiply
293,751,146,095.99x = 440,827,991,236.67 × 102,523,183,706.24 - Step 4: Simplify right side
293,751,146,095.99x = 45,195,089,128,409,878,495,232 - Step 5: Solve for x
x = 45,195,089,128,409,878,495,232/293,751,146,095.99 - Step 6: Final answer
x = 153,855,022,283.53
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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.