Finding the Fourth Proportional to 1,296,471,413.08, 1,944,712,105.98 and 313,896,315.52
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Solution
The fourth proportional to 1,296,471,413.08, 1,944,712,105.98 and 313,896,315.52 is: 470,845,680.56
Step by Step Solution
- Step 1: Write the proportion equation
1,296,471,413.08 : 1,944,712,105.98 = 313,896,315.52 : x - Step 2: Convert to fraction form
1,296,471,413.08/1,944,712,105.98 = 313,896,315.52/x - Step 3: Cross multiply
1,296,471,413.08x = 1,944,712,105.98 × 313,896,315.52 - Step 4: Simplify right side
1,296,471,413.08x = 610,437,964,814,261,760 - Step 5: Solve for x
x = 610,437,964,814,261,760/1,296,471,413.08 - Step 6: Final answer
x = 470,845,680.56
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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.