Finding the Fourth Proportional to 2,510,476,815.68, 3,766,259,984.16 and 763,634,152.16
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Solution
The fourth proportional to 2,510,476,815.68, 3,766,259,984.16 and 763,634,152.16 is: 1,145,616,932.95
Step by Step Solution
- Step 1: Write the proportion equation
2,510,476,815.68 : 3,766,259,984.16 = 763,634,152.16 : x - Step 2: Convert to fraction form
2,510,476,815.68/3,766,259,984.16 = 763,634,152.16/x - Step 3: Cross multiply
2,510,476,815.68x = 3,766,259,984.16 × 763,634,152.16 - Step 4: Simplify right side
2,510,476,815.68x = 2,876,044,749,818,156,544 - Step 5: Solve for x
x = 2,876,044,749,818,156,544/2,510,476,815.68 - Step 6: Final answer
x = 1,145,616,932.95
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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.