Finding the Fourth Proportional to 1,996,830,728.20, 2,995,019,344.14 and 769,896,434.44
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Solution
The fourth proportional to 1,996,830,728.20, 2,995,019,344.14 and 769,896,434.44 is: 1,154,757,226.82
Step by Step Solution
- Step 1: Write the proportion equation
1,996,830,728.20 : 2,995,019,344.14 = 769,896,434.44 : x - Step 2: Convert to fraction form
1,996,830,728.20/2,995,019,344.14 = 769,896,434.44/x - Step 3: Cross multiply
1,996,830,728.20x = 2,995,019,344.14 × 769,896,434.44 - Step 4: Simplify right side
1,996,830,728.20x = 2,305,854,714,132,213,248 - Step 5: Solve for x
x = 2,305,854,714,132,213,248/1,996,830,728.20 - Step 6: Final answer
x = 1,154,757,226.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.