Finding the Fourth Proportional to 77,282,205.80, 115,923,308.70 and 47,049,117.80
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Solution
The fourth proportional to 77,282,205.80, 115,923,308.70 and 47,049,117.80 is: 70,573,676.70
Step by Step Solution
- Step 1: Write the proportion equation
77,282,205.80 : 115,923,308.70 = 47,049,117.80 : x - Step 2: Convert to fraction form
77,282,205.80/115,923,308.70 = 47,049,117.80/x - Step 3: Cross multiply
77,282,205.80x = 115,923,308.70 × 47,049,117.80 - Step 4: Simplify right side
77,282,205.80x = 5,454,089,406,792,065 - Step 5: Solve for x
x = 5,454,089,406,792,065/77,282,205.80 - Step 6: Final answer
x = 70,573,676.70
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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.