Finding the Fourth Proportional to 149,599,926,728, 206,454,388,423.20 and 82,845,268,424
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Solution
The fourth proportional to 149,599,926,728, 206,454,388,423.20 and 82,845,268,424 is: 114,330,064,194.02
Step by Step Solution
- Step 1: Write the proportion equation
149,599,926,728 : 206,454,388,423.20 = 82,845,268,424 : x - Step 2: Convert to fraction form
149,599,926,728/206,454,388,423.20 = 82,845,268,424/x - Step 3: Cross multiply
149,599,926,728x = 206,454,388,423.20 × 82,845,268,424 - Step 4: Simplify right side
149,599,926,728x = 17,103,769,226,232,763,252,736 - Step 5: Solve for x
x = 17,103,769,226,232,763,252,736/149,599,926,728 - Step 6: Final answer
x = 114,330,064,194.02
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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.