Finding the Fourth Proportional to 1,595,761,855,453.90, 2,202,153,484,177.40 and 864,151,523,766.65
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Solution
The fourth proportional to 1,595,761,855,453.90, 2,202,153,484,177.40 and 864,151,523,766.65 is: 1,192,530,252,816.86
Step by Step Solution
- Step 1: Write the proportion equation
1,595,761,855,453.90 : 2,202,153,484,177.40 = 864,151,523,766.65 : x - Step 2: Convert to fraction form
1,595,761,855,453.90/2,202,153,484,177.40 = 864,151,523,766.65/x - Step 3: Cross multiply
1,595,761,855,453.90x = 2,202,153,484,177.40 × 864,151,523,766.65 - Step 4: Simplify right side
1,595,761,855,453.90x = 1,902,994,288,919,937,529,413,632 - Step 5: Solve for x
x = 1,902,994,288,919,937,529,413,632/1,595,761,855,453.90 - Step 6: Final answer
x = 1,192,530,252,816.86
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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.