Finding the Fourth Proportional to 2,802,281,214,064, 4,202,997,110,350.50 and 762,675,220,498.07
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Solution
The fourth proportional to 2,802,281,214,064, 4,202,997,110,350.50 and 762,675,220,498.07 is: 1,143,897,240,505.90
Step by Step Solution
- Step 1: Write the proportion equation
2,802,281,214,064 : 4,202,997,110,350.50 = 762,675,220,498.07 : x - Step 2: Convert to fraction form
2,802,281,214,064/4,202,997,110,350.50 = 762,675,220,498.07/x - Step 3: Cross multiply
2,802,281,214,064x = 4,202,997,110,350.50 × 762,675,220,498.07 - Step 4: Simplify right side
2,802,281,214,064x = 3,205,521,747,889,318,564,724,736 - Step 5: Solve for x
x = 3,205,521,747,889,318,564,724,736/2,802,281,214,064 - Step 6: Final answer
x = 1,143,897,240,505.90
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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.