Finding the Fourth Proportional to 7,584,937,206.57, 10,467,136,244.75 and 4,197,853,072.67
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Solution
The fourth proportional to 7,584,937,206.57, 10,467,136,244.75 and 4,197,853,072.67 is: 5,792,994,569.41
Step by Step Solution
- Step 1: Write the proportion equation
7,584,937,206.57 : 10,467,136,244.75 = 4,197,853,072.67 : x - Step 2: Convert to fraction form
7,584,937,206.57/10,467,136,244.75 = 4,197,853,072.67/x - Step 3: Cross multiply
7,584,937,206.57x = 10,467,136,244.75 × 4,197,853,072.67 - Step 4: Simplify right side
7,584,937,206.57x = 43,939,500,047,005,990,912 - Step 5: Solve for x
x = 43,939,500,047,005,990,912/7,584,937,206.57 - Step 6: Final answer
x = 5,792,994,569.41
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1.5x scale
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.