Finding the Fourth Proportional to 2,125,402,419,115.80, 3,188,103,628,673.70 and 2,125,402,419,115.80
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Solution
The fourth proportional to 2,125,402,419,115.80, 3,188,103,628,673.70 and 2,125,402,419,115.80 is: 3,188,103,628,673.70
Step by Step Solution
- Step 1: Write the proportion equation
2,125,402,419,115.80 : 3,188,103,628,673.70 = 2,125,402,419,115.80 : x - Step 2: Convert to fraction form
2,125,402,419,115.80/3,188,103,628,673.70 = 2,125,402,419,115.80/x - Step 3: Cross multiply
2,125,402,419,115.80x = 3,188,103,628,673.70 × 2,125,402,419,115.80 - Step 4: Simplify right side
2,125,402,419,115.80x = 6,776,003,164,774,942,554,193,920 - Step 5: Solve for x
x = 6,776,003,164,774,942,554,193,920/2,125,402,419,115.80 - Step 6: Final answer
x = 3,188,103,628,673.70
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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.