Finding the Fourth Proportional to 5,461,882,209,811.80, 8,193,326,931,216 and 1,786,178,636,715.30
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Solution
The fourth proportional to 5,461,882,209,811.80, 8,193,326,931,216 and 1,786,178,636,715.30 is: 2,679,432,650,867.51
Step by Step Solution
- Step 1: Write the proportion equation
5,461,882,209,811.80 : 8,193,326,931,216 = 1,786,178,636,715.30 : x - Step 2: Convert to fraction form
5,461,882,209,811.80/8,193,326,931,216 = 1,786,178,636,715.30/x - Step 3: Cross multiply
5,461,882,209,811.80x = 8,193,326,931,216 × 1,786,178,636,715.30 - Step 4: Simplify right side
5,461,882,209,811.80x = 14,634,745,528,162,147,335,405,568 - Step 5: Solve for x
x = 14,634,745,528,162,147,335,405,568/5,461,882,209,811.80 - Step 6: Final answer
x = 2,679,432,650,867.51
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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.