Finding the Fourth Proportional to 299,197,217,959.99, 448,703,006,464.91 and 107,944,393,055.96
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Solution
The fourth proportional to 299,197,217,959.99, 448,703,006,464.91 and 107,944,393,055.96 is: 161,883,101,806.50
Step by Step Solution
- Step 1: Write the proportion equation
299,197,217,959.99 : 448,703,006,464.91 = 107,944,393,055.96 : x - Step 2: Convert to fraction form
299,197,217,959.99/448,703,006,464.91 = 107,944,393,055.96/x - Step 3: Cross multiply
299,197,217,959.99x = 448,703,006,464.91 × 107,944,393,055.96 - Step 4: Simplify right side
299,197,217,959.99x = 48,434,973,695,239,207,780,352 - Step 5: Solve for x
x = 48,434,973,695,239,207,780,352/299,197,217,959.99 - Step 6: Final answer
x = 161,883,101,806.50
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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.