Finding the Fourth Proportional to 4,140,099,953,872, 6,210,276,444,306.40 and 1,420,375,227,406.70
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Solution
The fourth proportional to 4,140,099,953,872, 6,210,276,444,306.40 and 1,420,375,227,406.70 is: 2,130,606,245,047.41
Step by Step Solution
- Step 1: Write the proportion equation
4,140,099,953,872 : 6,210,276,444,306.40 = 1,420,375,227,406.70 : x - Step 2: Convert to fraction form
4,140,099,953,872/6,210,276,444,306.40 = 1,420,375,227,406.70/x - Step 3: Cross multiply
4,140,099,953,872x = 6,210,276,444,306.40 × 1,420,375,227,406.70 - Step 4: Simplify right side
4,140,099,953,872x = 8,820,922,816,840,175,204,696,064 - Step 5: Solve for x
x = 8,820,922,816,840,175,204,696,064/4,140,099,953,872 - Step 6: Final answer
x = 2,130,606,245,047.41
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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.