Finding the Fourth Proportional to 6,817,612,641.20, 9,414,803,178.24 and 6,446,193,818.84
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Solution
The fourth proportional to 6,817,612,641.20, 9,414,803,178.24 and 6,446,193,818.84 is: 8,901,891,211.36
Step by Step Solution
- Step 1: Write the proportion equation
6,817,612,641.20 : 9,414,803,178.24 = 6,446,193,818.84 : x - Step 2: Convert to fraction form
6,817,612,641.20/9,414,803,178.24 = 6,446,193,818.84/x - Step 3: Cross multiply
6,817,612,641.20x = 9,414,803,178.24 × 6,446,193,818.84 - Step 4: Simplify right side
6,817,612,641.20x = 60,689,646,053,165,875,200 - Step 5: Solve for x
x = 60,689,646,053,165,875,200/6,817,612,641.20 - Step 6: Final answer
x = 8,901,891,211.36
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1.5x scale
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.