Finding the Fourth Proportional to 782,281,168,339.05, 1,173,421,752,508.60 and 777,322,186,079.85
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Solution
The fourth proportional to 782,281,168,339.05, 1,173,421,752,508.60 and 777,322,186,079.85 is: 1,165,983,279,119.80
Step by Step Solution
- Step 1: Write the proportion equation
782,281,168,339.05 : 1,173,421,752,508.60 = 777,322,186,079.85 : x - Step 2: Convert to fraction form
782,281,168,339.05/1,173,421,752,508.60 = 777,322,186,079.85/x - Step 3: Cross multiply
782,281,168,339.05x = 1,173,421,752,508.60 × 777,322,186,079.85 - Step 4: Simplify right side
782,281,168,339.05x = 912,126,761,853,633,754,562,560 - Step 5: Solve for x
x = 912,126,761,853,633,754,562,560/782,281,168,339.05 - Step 6: Final answer
x = 1,165,983,279,119.80
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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.