Finding the Fourth Proportional to 5,119,122,840.57, 7,678,684,260.86 and 1,438,628,195.07
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Solution
The fourth proportional to 5,119,122,840.57, 7,678,684,260.86 and 1,438,628,195.07 is: 2,157,942,292.61
Step by Step Solution
- Step 1: Write the proportion equation
5,119,122,840.57 : 7,678,684,260.86 = 1,438,628,195.07 : x - Step 2: Convert to fraction form
5,119,122,840.57/7,678,684,260.86 = 1,438,628,195.07/x - Step 3: Cross multiply
5,119,122,840.57x = 7,678,684,260.86 × 1,438,628,195.07 - Step 4: Simplify right side
5,119,122,840.57x = 11,046,771,678,713,438,208 - Step 5: Solve for x
x = 11,046,771,678,713,438,208/5,119,122,840.57 - Step 6: Final answer
x = 2,157,942,292.61
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1.5x scale
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.