Finding the Fourth Proportional to 7,203,642,535,995.50, 9,941,026,699,674 and 4,120,637,302,807.70
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Solution
The fourth proportional to 7,203,642,535,995.50, 9,941,026,699,674 and 4,120,637,302,807.70 is: 5,686,479,477,874.75
Step by Step Solution
- Step 1: Write the proportion equation
7,203,642,535,995.50 : 9,941,026,699,674 = 4,120,637,302,807.70 : x - Step 2: Convert to fraction form
7,203,642,535,995.50/9,941,026,699,674 = 4,120,637,302,807.70/x - Step 3: Cross multiply
7,203,642,535,995.50x = 9,941,026,699,674 × 4,120,637,302,807.70 - Step 4: Simplify right side
7,203,642,535,995.50x = 40,963,365,446,884,005,884,461,056 - Step 5: Solve for x
x = 40,963,365,446,884,005,884,461,056/7,203,642,535,995.50 - Step 6: Final answer
x = 5,686,479,477,874.75
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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.