Finding the Fourth Proportional to 7,678,071,146.70, 11,517,106,720.05 and 6,790,352,100.30
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Solution
The fourth proportional to 7,678,071,146.70, 11,517,106,720.05 and 6,790,352,100.30 is: 10,185,528,150.45
Step by Step Solution
- Step 1: Write the proportion equation
7,678,071,146.70 : 11,517,106,720.05 = 6,790,352,100.30 : x - Step 2: Convert to fraction form
7,678,071,146.70/11,517,106,720.05 = 6,790,352,100.30/x - Step 3: Cross multiply
7,678,071,146.70x = 11,517,106,720.05 × 6,790,352,100.30 - Step 4: Simplify right side
7,678,071,146.70x = 78,205,209,805,870,759,936 - Step 5: Solve for x
x = 78,205,209,805,870,759,936/7,678,071,146.70 - Step 6: Final answer
x = 10,185,528,150.45
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1.5x scale
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.