Finding the Fourth Proportional to 32,831,964,463,077, 45,309,417,254,502 and 18,017,359,854,400
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Solution
The fourth proportional to 32,831,964,463,077, 45,309,417,254,502 and 18,017,359,854,400 is: 24,864,673,461,303.28
Step by Step Solution
- Step 1: Write the proportion equation
32,831,964,463,077 : 45,309,417,254,502 = 18,017,359,854,400 : x - Step 2: Convert to fraction form
32,831,964,463,077/45,309,417,254,502 = 18,017,359,854,400/x - Step 3: Cross multiply
32,831,964,463,077x = 45,309,417,254,502 × 18,017,359,854,400 - Step 4: Simplify right side
32,831,964,463,077x = 816,356,075,467,522,940,606,611,456 - Step 5: Solve for x
x = 816,356,075,467,522,940,606,611,456/32,831,964,463,077 - Step 6: Final answer
x = 24,864,673,461,303.28
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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.