Finding the Fourth Proportional to 293,671,617,225.98, 405,266,851,260.36 and 163,457,677,357.57
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Solution
The fourth proportional to 293,671,617,225.98, 405,266,851,260.36 and 163,457,677,357.57 is: 225,571,605,600.75
Step by Step Solution
- Step 1: Write the proportion equation
293,671,617,225.98 : 405,266,851,260.36 = 163,457,677,357.57 : x - Step 2: Convert to fraction form
293,671,617,225.98/405,266,851,260.36 = 163,457,677,357.57/x - Step 3: Cross multiply
293,671,617,225.98x = 405,266,851,260.36 × 163,457,677,357.57 - Step 4: Simplify right side
293,671,617,225.98x = 66,243,978,217,034,235,248,640 - Step 5: Solve for x
x = 66,243,978,217,034,235,248,640/293,671,617,225.98 - Step 6: Final answer
x = 225,571,605,600.75
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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.