Finding the Fourth Proportional to 1,823,751,987.54, 2,735,672,768.24 and 513,645,176.18
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Solution
The fourth proportional to 1,823,751,987.54, 2,735,672,768.24 and 513,645,176.18 is: 770,480,378.15
Step by Step Solution
- Step 1: Write the proportion equation
1,823,751,987.54 : 2,735,672,768.24 = 513,645,176.18 : x - Step 2: Convert to fraction form
1,823,751,987.54/2,735,672,768.24 = 513,645,176.18/x - Step 3: Cross multiply
1,823,751,987.54x = 2,735,672,768.24 × 513,645,176.18 - Step 4: Simplify right side
1,823,751,987.54x = 1,405,165,121,013,463,040 - Step 5: Solve for x
x = 1,405,165,121,013,463,040/1,823,751,987.54 - Step 6: Final answer
x = 770,480,378.15
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.