Finding the Fourth Proportional to 293,671,617,227.23, 405,266,851,262.09 and 163,457,677,358.82
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Solution
The fourth proportional to 293,671,617,227.23, 405,266,851,262.09 and 163,457,677,358.82 is: 225,571,605,602.48
Step by Step Solution
- Step 1: Write the proportion equation
293,671,617,227.23 : 405,266,851,262.09 = 163,457,677,358.82 : x - Step 2: Convert to fraction form
293,671,617,227.23/405,266,851,262.09 = 163,457,677,358.82/x - Step 3: Cross multiply
293,671,617,227.23x = 405,266,851,262.09 × 163,457,677,358.82 - Step 4: Simplify right side
293,671,617,227.23x = 66,243,978,217,823,611,650,048 - Step 5: Solve for x
x = 66,243,978,217,823,611,650,048/293,671,617,227.23 - Step 6: Final answer
x = 225,571,605,602.48
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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.