Finding the Fourth Proportional to 7,533,582,841,696.50, 11,301,565,761,833 and 2,698,477,436,372.10
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Solution
The fourth proportional to 7,533,582,841,696.50, 11,301,565,761,833 and 2,698,477,436,372.10 is: 4,048,142,941,388.85
Step by Step Solution
- Step 1: Write the proportion equation
7,533,582,841,696.50 : 11,301,565,761,833 = 2,698,477,436,372.10 : x - Step 2: Convert to fraction form
7,533,582,841,696.50/11,301,565,761,833 = 2,698,477,436,372.10/x - Step 3: Cross multiply
7,533,582,841,696.50x = 11,301,565,761,833 × 2,698,477,436,372.10 - Step 4: Simplify right side
7,533,582,841,696.50x = 30,497,020,203,981,813,151,956,992 - Step 5: Solve for x
x = 30,497,020,203,981,813,151,956,992/7,533,582,841,696.50 - Step 6: Final answer
x = 4,048,142,941,388.85
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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.