Finding the Fourth Proportional to 310,086,146,431.80, 465,129,219,647.70 and 310,086,146,431.80
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Solution
The fourth proportional to 310,086,146,431.80, 465,129,219,647.70 and 310,086,146,431.80 is: 465,129,219,647.70
Step by Step Solution
- Step 1: Write the proportion equation
310,086,146,431.80 : 465,129,219,647.70 = 310,086,146,431.80 : x - Step 2: Convert to fraction form
310,086,146,431.80/465,129,219,647.70 = 310,086,146,431.80/x - Step 3: Cross multiply
310,086,146,431.80x = 465,129,219,647.70 × 310,086,146,431.80 - Step 4: Simplify right side
310,086,146,431.80x = 144,230,127,313,385,571,745,792 - Step 5: Solve for x
x = 144,230,127,313,385,571,745,792/310,086,146,431.80 - Step 6: Final answer
x = 465,129,219,647.70
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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.