Finding the Fourth Proportional to 8,025,822,144,429.20, 12,038,733,216,644 and 8,025,822,144,429.20
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Solution
The fourth proportional to 8,025,822,144,429.20, 12,038,733,216,644 and 8,025,822,144,429.20 is: 12,038,733,216,644
Step by Step Solution
- Step 1: Write the proportion equation
8,025,822,144,429.20 : 12,038,733,216,644 = 8,025,822,144,429.20 : x - Step 2: Convert to fraction form
8,025,822,144,429.20/12,038,733,216,644 = 8,025,822,144,429.20/x - Step 3: Cross multiply
8,025,822,144,429.20x = 12,038,733,216,644 × 8,025,822,144,429.20 - Step 4: Simplify right side
8,025,822,144,429.20x = 96,620,731,641,016,797,162,897,408 - Step 5: Solve for x
x = 96,620,731,641,016,797,162,897,408/8,025,822,144,429.20 - Step 6: Final answer
x = 12,038,733,216,644
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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.