Finding the Fourth Proportional to 2,006,455,536,163, 3,009,683,304,244.70 and 2,006,455,536,163
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Solution
The fourth proportional to 2,006,455,536,163, 3,009,683,304,244.70 and 2,006,455,536,163 is: 3,009,683,304,244.70
Step by Step Solution
- Step 1: Write the proportion equation
2,006,455,536,163 : 3,009,683,304,244.70 = 2,006,455,536,163 : x - Step 2: Convert to fraction form
2,006,455,536,163/3,009,683,304,244.70 = 2,006,455,536,163/x - Step 3: Cross multiply
2,006,455,536,163x = 3,009,683,304,244.70 × 2,006,455,536,163 - Step 4: Simplify right side
2,006,455,536,163x = 6,038,795,727,899,129,576,161,280 - Step 5: Solve for x
x = 6,038,795,727,899,129,576,161,280/2,006,455,536,163 - Step 6: Final answer
x = 3,009,683,304,244.70
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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.