Finding the Fourth Proportional to 977,174,190.80, 1,465,761,286.20 and 824,119,182.80
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Solution
The fourth proportional to 977,174,190.80, 1,465,761,286.20 and 824,119,182.80 is: 1,236,178,774.20
Step by Step Solution
- Step 1: Write the proportion equation
977,174,190.80 : 1,465,761,286.20 = 824,119,182.80 : x - Step 2: Convert to fraction form
977,174,190.80/1,465,761,286.20 = 824,119,182.80/x - Step 3: Cross multiply
977,174,190.80x = 1,465,761,286.20 × 824,119,182.80 - Step 4: Simplify right side
977,174,190.80x = 1,207,961,993,363,020,800 - Step 5: Solve for x
x = 1,207,961,993,363,020,800/977,174,190.80 - Step 6: Final answer
x = 1,236,178,774.20
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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.