Finding the Fourth Proportional to 4,497,971,405,752, 6,744,830,240,766.60 and 1,742,470,028,131.90
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Solution
The fourth proportional to 4,497,971,405,752, 6,744,830,240,766.60 and 1,742,470,028,131.90 is: 2,612,881,114,438.43
Step by Step Solution
- Step 1: Write the proportion equation
4,497,971,405,752 : 6,744,830,240,766.60 = 1,742,470,028,131.90 : x - Step 2: Convert to fraction form
4,497,971,405,752/6,744,830,240,766.60 = 1,742,470,028,131.90/x - Step 3: Cross multiply
4,497,971,405,752x = 6,744,830,240,766.60 × 1,742,470,028,131.90 - Step 4: Simplify right side
4,497,971,405,752x = 11,752,664,539,373,466,829,193,216 - Step 5: Solve for x
x = 11,752,664,539,373,466,829,193,216/4,497,971,405,752 - Step 6: Final answer
x = 2,612,881,114,438.43
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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.