Finding the Fourth Proportional to 4,147,346,395,366, 6,252,104,805,557.40 and 3,870,883,134,415.60
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Solution
The fourth proportional to 4,147,346,395,366, 6,252,104,805,557.40 and 3,870,883,134,415.60 is: 5,835,337,765,244.74
Step by Step Solution
- Step 1: Write the proportion equation
4,147,346,395,366 : 6,252,104,805,557.40 = 3,870,883,134,415.60 : x - Step 2: Convert to fraction form
4,147,346,395,366/6,252,104,805,557.40 = 3,870,883,134,415.60/x - Step 3: Cross multiply
4,147,346,395,366x = 6,252,104,805,557.40 × 3,870,883,134,415.60 - Step 4: Simplify right side
4,147,346,395,366x = 24,201,167,046,430,868,140,720,128 - Step 5: Solve for x
x = 24,201,167,046,430,868,140,720,128/4,147,346,395,366 - Step 6: Final answer
x = 5,835,337,765,244.74
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.