Finding the Fourth Proportional to 120,170,918,423.70, 180,218,107,001.79 and 39,477,891,394.26
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Solution
The fourth proportional to 120,170,918,423.70, 180,218,107,001.79 and 39,477,891,394.26 is: 59,204,264,632.57
Step by Step Solution
- Step 1: Write the proportion equation
120,170,918,423.70 : 180,218,107,001.79 = 39,477,891,394.26 : x - Step 2: Convert to fraction form
120,170,918,423.70/180,218,107,001.79 = 39,477,891,394.26/x - Step 3: Cross multiply
120,170,918,423.70x = 180,218,107,001.79 × 39,477,891,394.26 - Step 4: Simplify right side
120,170,918,423.70x = 7,114,630,855,495,794,032,640 - Step 5: Solve for x
x = 7,114,630,855,495,794,032,640/120,170,918,423.70 - Step 6: Final answer
x = 59,204,264,632.57
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1.5x scale
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.