Finding the Fourth Proportional to 1,423,478,450.20, 2,135,539,645.50 and 768,415,417.12
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Solution
The fourth proportional to 1,423,478,450.20, 2,135,539,645.50 and 768,415,417.12 is: 1,152,796,930.11
Step by Step Solution
- Step 1: Write the proportion equation
1,423,478,450.20 : 2,135,539,645.50 = 768,415,417.12 : x - Step 2: Convert to fraction form
1,423,478,450.20/2,135,539,645.50 = 768,415,417.12/x - Step 3: Cross multiply
1,423,478,450.20x = 2,135,539,645.50 × 768,415,417.12 - Step 4: Simplify right side
1,423,478,450.20x = 1,640,981,587,473,179,392 - Step 5: Solve for x
x = 1,640,981,587,473,179,392/1,423,478,450.20 - Step 6: Final answer
x = 1,152,796,930.11
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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.