Finding the Fourth Proportional to 7,873,477,922,470, 11,869,230,216,828 and 7,348,629,700,510
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Solution
The fourth proportional to 7,873,477,922,470, 11,869,230,216,828 and 7,348,629,700,510 is: 11,078,024,038,735.13
Step by Step Solution
- Step 1: Write the proportion equation
7,873,477,922,470 : 11,869,230,216,828 = 7,348,629,700,510 : x - Step 2: Convert to fraction form
7,873,477,922,470/11,869,230,216,828 = 7,348,629,700,510/x - Step 3: Cross multiply
7,873,477,922,470x = 11,869,230,216,828 × 7,348,629,700,510 - Step 4: Simplify right side
7,873,477,922,470x = 87,222,577,693,572,995,420,782,592 - Step 5: Solve for x
x = 87,222,577,693,572,995,420,782,592/7,873,477,922,470 - Step 6: Final answer
x = 11,078,024,038,735.13
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.