Finding the Fourth Proportional to 7,203,642,535,651, 9,941,026,699,202.50 and 4,120,637,302,463
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Solution
The fourth proportional to 7,203,642,535,651, 9,941,026,699,202.50 and 4,120,637,302,463 is: 5,686,479,477,401.30
Step by Step Solution
- Step 1: Write the proportion equation
7,203,642,535,651 : 9,941,026,699,202.50 = 4,120,637,302,463 : x - Step 2: Convert to fraction form
7,203,642,535,651/9,941,026,699,202.50 = 4,120,637,302,463/x - Step 3: Cross multiply
7,203,642,535,651x = 9,941,026,699,202.50 × 4,120,637,302,463 - Step 4: Simplify right side
7,203,642,535,651x = 40,963,365,441,514,446,360,936,448 - Step 5: Solve for x
x = 40,963,365,441,514,446,360,936,448/7,203,642,535,651 - Step 6: Final answer
x = 5,686,479,477,401.30
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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.