Finding the Fourth Proportional to 5,119,122,833.96, 7,678,684,250.93 and 1,438,628,188.45
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Solution
The fourth proportional to 5,119,122,833.96, 7,678,684,250.93 and 1,438,628,188.45 is: 2,157,942,282.68
Step by Step Solution
- Step 1: Write the proportion equation
5,119,122,833.96 : 7,678,684,250.93 = 1,438,628,188.45 : x - Step 2: Convert to fraction form
5,119,122,833.96/7,678,684,250.93 = 1,438,628,188.45/x - Step 3: Cross multiply
5,119,122,833.96x = 7,678,684,250.93 × 1,438,628,188.45 - Step 4: Simplify right side
5,119,122,833.96x = 11,046,771,613,636,048,896 - Step 5: Solve for x
x = 11,046,771,613,636,048,896/5,119,122,833.96 - Step 6: Final answer
x = 2,157,942,282.68
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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.