Finding the Fourth Proportional to 7,485,727,835,201, 10,330,296,577,844 and 4,193,498,839,294.20
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Solution
The fourth proportional to 7,485,727,835,201, 10,330,296,577,844 and 4,193,498,839,294.20 is: 5,787,024,009,214.53
Step by Step Solution
- Step 1: Write the proportion equation
7,485,727,835,201 : 10,330,296,577,844 = 4,193,498,839,294.20 : x - Step 2: Convert to fraction form
7,485,727,835,201/10,330,296,577,844 = 4,193,498,839,294.20/x - Step 3: Cross multiply
7,485,727,835,201x = 10,330,296,577,844 × 4,193,498,839,294.20 - Step 4: Simplify right side
7,485,727,835,201x = 43,320,086,708,753,662,547,591,168 - Step 5: Solve for x
x = 43,320,086,708,753,662,547,591,168/7,485,727,835,201 - Step 6: Final answer
x = 5,787,024,009,214.53
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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.