Finding the Fourth Proportional to 157,306,752,021.20, 235,960,128,031.80 and 157,306,752,021.20
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Solution
The fourth proportional to 157,306,752,021.20, 235,960,128,031.80 and 157,306,752,021.20 is: 235,960,128,031.80
Step by Step Solution
- Step 1: Write the proportion equation
157,306,752,021.20 : 235,960,128,031.80 = 157,306,752,021.20 : x - Step 2: Convert to fraction form
157,306,752,021.20/235,960,128,031.80 = 157,306,752,021.20/x - Step 3: Cross multiply
157,306,752,021.20x = 235,960,128,031.80 × 157,306,752,021.20 - Step 4: Simplify right side
157,306,752,021.20x = 37,118,121,347,188,965,507,072 - Step 5: Solve for x
x = 37,118,121,347,188,965,507,072/157,306,752,021.20 - Step 6: Final answer
x = 235,960,128,031.80
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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.