Finding the Fourth Proportional to 4,900,673,693.14, 6,763,501,450.93 and 2,786,446,424.26
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Solution
The fourth proportional to 4,900,673,693.14, 6,763,501,450.93 and 2,786,446,424.26 is: 3,845,621,156.09
Step by Step Solution
- Step 1: Write the proportion equation
4,900,673,693.14 : 6,763,501,450.93 = 2,786,446,424.26 : x - Step 2: Convert to fraction form
4,900,673,693.14/6,763,501,450.93 = 2,786,446,424.26/x - Step 3: Cross multiply
4,900,673,693.14x = 6,763,501,450.93 × 2,786,446,424.26 - Step 4: Simplify right side
4,900,673,693.14x = 18,846,134,433,421,221,888 - Step 5: Solve for x
x = 18,846,134,433,421,221,888/4,900,673,693.14 - Step 6: Final answer
x = 3,845,621,156.09
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1.5x scale
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.