Finding the Fourth Proportional to 4,214,503,137,020, 6,320,528,296,296.50 and 1,632,349,728,228.60
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Solution
The fourth proportional to 4,214,503,137,020, 6,320,528,296,296.50 and 1,632,349,728,228.60 is: 2,448,049,582,901.95
Step by Step Solution
- Step 1: Write the proportion equation
4,214,503,137,020 : 6,320,528,296,296.50 = 1,632,349,728,228.60 : x - Step 2: Convert to fraction form
4,214,503,137,020/6,320,528,296,296.50 = 1,632,349,728,228.60/x - Step 3: Cross multiply
4,214,503,137,020x = 6,320,528,296,296.50 × 1,632,349,728,228.60 - Step 4: Simplify right side
4,214,503,137,020x = 10,317,312,646,720,769,518,206,976 - Step 5: Solve for x
x = 10,317,312,646,720,769,518,206,976/4,214,503,137,020 - Step 6: Final answer
x = 2,448,049,582,901.95
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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.