Finding the Fourth Proportional to 42,821,006,223,404, 64,231,429,164,162 and 13,417,476,084,142
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Solution
The fourth proportional to 42,821,006,223,404, 64,231,429,164,162 and 13,417,476,084,142 is: 20,126,189,005,558.01
Step by Step Solution
- Step 1: Write the proportion equation
42,821,006,223,404 : 64,231,429,164,162 = 13,417,476,084,142 : x - Step 2: Convert to fraction form
42,821,006,223,404/64,231,429,164,162 = 13,417,476,084,142/x - Step 3: Cross multiply
42,821,006,223,404x = 64,231,429,164,162 × 13,417,476,084,142 - Step 4: Simplify right side
42,821,006,223,404x = 861,823,664,660,404,550,812,827,648 - Step 5: Solve for x
x = 861,823,664,660,404,550,812,827,648/42,821,006,223,404 - Step 6: Final answer
x = 20,126,189,005,558.01
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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.