Finding the Fourth Proportional to 1,510,702,515,321.10, 2,265,408,720,131.20 and 874,434,096,252.10
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Solution
The fourth proportional to 1,510,702,515,321.10, 2,265,408,720,131.20 and 874,434,096,252.10 is: 1,311,277,770,930.63
Step by Step Solution
- Step 1: Write the proportion equation
1,510,702,515,321.10 : 2,265,408,720,131.20 = 874,434,096,252.10 : x - Step 2: Convert to fraction form
1,510,702,515,321.10/2,265,408,720,131.20 = 874,434,096,252.10/x - Step 3: Cross multiply
1,510,702,515,321.10x = 2,265,408,720,131.20 × 874,434,096,252.10 - Step 4: Simplify right side
1,510,702,515,321.10x = 1,980,950,626,829,552,398,106,624 - Step 5: Solve for x
x = 1,980,950,626,829,552,398,106,624/1,510,702,515,321.10 - Step 6: Final answer
x = 1,311,277,770,930.63
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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.