Finding the Fourth Proportional to 399,456,317,225.44, 599,120,693,448.42 and 116,408,952,675.82
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Solution
The fourth proportional to 399,456,317,225.44, 599,120,693,448.42 and 116,408,952,675.82 is: 174,594,841,646.68
Step by Step Solution
- Step 1: Write the proportion equation
399,456,317,225.44 : 599,120,693,448.42 = 116,408,952,675.82 : x - Step 2: Convert to fraction form
399,456,317,225.44/599,120,693,448.42 = 116,408,952,675.82/x - Step 3: Cross multiply
399,456,317,225.44x = 599,120,693,448.42 × 116,408,952,675.82 - Step 4: Simplify right side
399,456,317,225.44x = 69,743,012,450,741,598,027,776 - Step 5: Solve for x
x = 69,743,012,450,741,598,027,776/399,456,317,225.44 - Step 6: Final answer
x = 174,594,841,646.68
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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.