Finding the Fourth Proportional to 293,751,146,119.40, 440,827,991,271.80 and 102,523,183,729.65
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Solution
The fourth proportional to 293,751,146,119.40, 440,827,991,271.80 and 102,523,183,729.65 is: 153,855,022,318.66
Step by Step Solution
- Step 1: Write the proportion equation
293,751,146,119.40 : 440,827,991,271.80 = 102,523,183,729.65 : x - Step 2: Convert to fraction form
293,751,146,119.40/440,827,991,271.80 = 102,523,183,729.65/x - Step 3: Cross multiply
293,751,146,119.40x = 440,827,991,271.80 × 102,523,183,729.65 - Step 4: Simplify right side
293,751,146,119.40x = 45,195,089,142,331,293,564,928 - Step 5: Solve for x
x = 45,195,089,142,331,293,564,928/293,751,146,119.40 - Step 6: Final answer
x = 153,855,022,318.66
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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.