Finding the Fourth Proportional to 42,382,052,833,614, 58,498,115,033,898 and 27,603,744,281,094
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Solution
The fourth proportional to 42,382,052,833,614, 58,498,115,033,898 and 27,603,744,281,094 is: 38,100,254,715,388.37
Step by Step Solution
- Step 1: Write the proportion equation
42,382,052,833,614 : 58,498,115,033,898 = 27,603,744,281,094 : x - Step 2: Convert to fraction form
42,382,052,833,614/58,498,115,033,898 = 27,603,744,281,094/x - Step 3: Cross multiply
42,382,052,833,614x = 58,498,115,033,898 × 27,603,744,281,094 - Step 4: Simplify right side
42,382,052,833,614x = 1,614,767,008,321,740,877,976,305,664 - Step 5: Solve for x
x = 1,614,767,008,321,740,877,976,305,664/42,382,052,833,614 - Step 6: Final answer
x = 38,100,254,715,388.37
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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.