Finding the Fourth Proportional to 294,396,246,682.84, 406,266,821,204.72 and 159,065,427,119.48
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Solution
The fourth proportional to 294,396,246,682.84, 406,266,821,204.72 and 159,065,427,119.48 is: 219,510,289,847.62
Step by Step Solution
- Step 1: Write the proportion equation
294,396,246,682.84 : 406,266,821,204.72 = 159,065,427,119.48 : x - Step 2: Convert to fraction form
294,396,246,682.84/406,266,821,204.72 = 159,065,427,119.48/x - Step 3: Cross multiply
294,396,246,682.84x = 406,266,821,204.72 × 159,065,427,119.48 - Step 4: Simplify right side
294,396,246,682.84x = 64,623,005,439,402,203,676,672 - Step 5: Solve for x
x = 64,623,005,439,402,203,676,672/294,396,246,682.84 - Step 6: Final answer
x = 219,510,289,847.62
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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.