Finding the Fourth Proportional to 4,497,971,405,630.70, 6,744,830,240,585 and 1,742,470,028,010.10
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Solution
The fourth proportional to 4,497,971,405,630.70, 6,744,830,240,585 and 1,742,470,028,010.10 is: 2,612,881,114,255.90
Step by Step Solution
- Step 1: Write the proportion equation
4,497,971,405,630.70 : 6,744,830,240,585 = 1,742,470,028,010.10 : x - Step 2: Convert to fraction form
4,497,971,405,630.70/6,744,830,240,585 = 1,742,470,028,010.10/x - Step 3: Cross multiply
4,497,971,405,630.70x = 6,744,830,240,585 × 1,742,470,028,010.10 - Step 4: Simplify right side
4,497,971,405,630.70x = 11,752,664,538,235,515,244,118,016 - Step 5: Solve for x
x = 11,752,664,538,235,515,244,118,016/4,497,971,405,630.70 - Step 6: Final answer
x = 2,612,881,114,255.90
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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.