Finding the Fourth Proportional to 42,821,006,225,166, 64,231,429,166,802 and 13,417,476,085,900
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Solution
The fourth proportional to 42,821,006,225,166, 64,231,429,166,802 and 13,417,476,085,900 is: 20,126,189,008,194.07
Step by Step Solution
- Step 1: Write the proportion equation
42,821,006,225,166 : 64,231,429,166,802 = 13,417,476,085,900 : x - Step 2: Convert to fraction form
42,821,006,225,166/64,231,429,166,802 = 13,417,476,085,900/x - Step 3: Cross multiply
42,821,006,225,166x = 64,231,429,166,802 × 13,417,476,085,900 - Step 4: Simplify right side
42,821,006,225,166x = 861,823,664,808,745,574,391,087,104 - Step 5: Solve for x
x = 861,823,664,808,745,574,391,087,104/42,821,006,225,166 - Step 6: Final answer
x = 20,126,189,008,194.07
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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.