Finding the Fourth Proportional to 2,440,953,877,974, 3,368,297,407,371.30 and 1,413,354,822,577.40
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Solution
The fourth proportional to 2,440,953,877,974, 3,368,297,407,371.30 and 1,413,354,822,577.40 is: 1,950,302,882,631.48
Step by Step Solution
- Step 1: Write the proportion equation
2,440,953,877,974 : 3,368,297,407,371.30 = 1,413,354,822,577.40 : x - Step 2: Convert to fraction form
2,440,953,877,974/3,368,297,407,371.30 = 1,413,354,822,577.40/x - Step 3: Cross multiply
2,440,953,877,974x = 3,368,297,407,371.30 × 1,413,354,822,577.40 - Step 4: Simplify right side
2,440,953,877,974x = 4,760,599,384,583,179,723,603,968 - Step 5: Solve for x
x = 4,760,599,384,583,179,723,603,968/2,440,953,877,974 - Step 6: Final answer
x = 1,950,302,882,631.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.