Finding the Fourth Proportional to 3,178,355,206.75, 4,386,908,635.84 and 2,462,474,784.41
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Solution
The fourth proportional to 3,178,355,206.75, 4,386,908,635.84 and 2,462,474,784.41 is: 3,398,818,317.83
Step by Step Solution
- Step 1: Write the proportion equation
3,178,355,206.75 : 4,386,908,635.84 = 2,462,474,784.41 : x - Step 2: Convert to fraction form
3,178,355,206.75/4,386,908,635.84 = 2,462,474,784.41/x - Step 3: Cross multiply
3,178,355,206.75x = 4,386,908,635.84 × 2,462,474,784.41 - Step 4: Simplify right side
3,178,355,206.75x = 10,802,651,897,264,162,816 - Step 5: Solve for x
x = 10,802,651,897,264,162,816/3,178,355,206.75 - Step 6: Final answer
x = 3,398,818,317.83
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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.