Finding the Fourth Proportional to 68,415,720,749.83, 102,682,662,750.01 and 47,468,863,460.84
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Solution
The fourth proportional to 68,415,720,749.83, 102,682,662,750.01 and 47,468,863,460.84 is: 71,244,287,781.43
Step by Step Solution
- Step 1: Write the proportion equation
68,415,720,749.83 : 102,682,662,750.01 = 47,468,863,460.84 : x - Step 2: Convert to fraction form
68,415,720,749.83/102,682,662,750.01 = 47,468,863,460.84/x - Step 3: Cross multiply
68,415,720,749.83x = 102,682,662,750.01 × 47,468,863,460.84 - Step 4: Simplify right side
68,415,720,749.83x = 4,874,229,297,875,192,381,440 - Step 5: Solve for x
x = 4,874,229,297,875,192,381,440/68,415,720,749.83 - Step 6: Final answer
x = 71,244,287,781.43
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.