Finding the Fourth Proportional to 7,203,642,535,650, 9,941,026,699,201.60 and 4,120,637,302,462.20
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Solution
The fourth proportional to 7,203,642,535,650, 9,941,026,699,201.60 and 4,120,637,302,462.20 is: 5,686,479,477,400.47
Step by Step Solution
- Step 1: Write the proportion equation
7,203,642,535,650 : 9,941,026,699,201.60 = 4,120,637,302,462.20 : x - Step 2: Convert to fraction form
7,203,642,535,650/9,941,026,699,201.60 = 4,120,637,302,462.20/x - Step 3: Cross multiply
7,203,642,535,650x = 9,941,026,699,201.60 × 4,120,637,302,462.20 - Step 4: Simplify right side
7,203,642,535,650x = 40,963,365,441,502,789,819,695,104 - Step 5: Solve for x
x = 40,963,365,441,502,789,819,695,104/7,203,642,535,650 - Step 6: Final answer
x = 5,686,479,477,400.47
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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.