Finding the Fourth Proportional to 749,183,570,221.24, 1,033,874,092,063.70 and 406,627,503,822.96
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Solution
The fourth proportional to 749,183,570,221.24, 1,033,874,092,063.70 and 406,627,503,822.96 is: 561,146,370,573.70
Step by Step Solution
- Step 1: Write the proportion equation
749,183,570,221.24 : 1,033,874,092,063.70 = 406,627,503,822.96 : x - Step 2: Convert to fraction form
749,183,570,221.24/1,033,874,092,063.70 = 406,627,503,822.96/x - Step 3: Cross multiply
749,183,570,221.24x = 1,033,874,092,063.70 × 406,627,503,822.96 - Step 4: Simplify right side
749,183,570,221.24x = 420,401,641,323,091,478,970,368 - Step 5: Solve for x
x = 420,401,641,323,091,478,970,368/749,183,570,221.24 - Step 6: Final answer
x = 561,146,370,573.70
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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.