Finding the Fourth Proportional to 227,461,491,022.41, 313,906,724,726.46 and 125,963,376,349.49
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Solution
The fourth proportional to 227,461,491,022.41, 313,906,724,726.46 and 125,963,376,349.49 is: 173,834,923,562.77
Step by Step Solution
- Step 1: Write the proportion equation
227,461,491,022.41 : 313,906,724,726.46 = 125,963,376,349.49 : x - Step 2: Convert to fraction form
227,461,491,022.41/313,906,724,726.46 = 125,963,376,349.49/x - Step 3: Cross multiply
227,461,491,022.41x = 313,906,724,726.46 × 125,963,376,349.49 - Step 4: Simplify right side
227,461,491,022.41x = 39,540,750,905,354,840,178,688 - Step 5: Solve for x
x = 39,540,750,905,354,840,178,688/227,461,491,022.41 - Step 6: Final answer
x = 173,834,923,562.77
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1.5x scale
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.