Finding the Fourth Proportional to 1,742,272,370.51, 2,404,305,598.97 and 949,324,865.40
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Solution
The fourth proportional to 1,742,272,370.51, 2,404,305,598.97 and 949,324,865.40 is: 1,310,051,819.55
Step by Step Solution
- Step 1: Write the proportion equation
1,742,272,370.51 : 2,404,305,598.97 = 949,324,865.40 : x - Step 2: Convert to fraction form
1,742,272,370.51/2,404,305,598.97 = 949,324,865.40/x - Step 3: Cross multiply
1,742,272,370.51x = 2,404,305,598.97 × 949,324,865.40 - Step 4: Simplify right side
1,742,272,370.51x = 2,282,467,089,124,940,032 - Step 5: Solve for x
x = 2,282,467,089,124,940,032/1,742,272,370.51 - Step 6: Final answer
x = 1,310,051,819.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.