Finding the Fourth Proportional to 6,742,652,131,830, 9,304,866,828,352.80 and 3,659,647,534,245.60
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Solution
The fourth proportional to 6,742,652,131,830, 9,304,866,828,352.80 and 3,659,647,534,245.60 is: 5,050,317,334,942.05
Step by Step Solution
- Step 1: Write the proportion equation
6,742,652,131,830 : 9,304,866,828,352.80 = 3,659,647,534,245.60 : x - Step 2: Convert to fraction form
6,742,652,131,830/9,304,866,828,352.80 = 3,659,647,534,245.60/x - Step 3: Cross multiply
6,742,652,131,830x = 9,304,866,828,352.80 × 3,659,647,534,245.60 - Step 4: Simplify right side
6,742,652,131,830x = 34,052,532,944,865,006,106,705,920 - Step 5: Solve for x
x = 34,052,532,944,865,006,106,705,920/6,742,652,131,830 - Step 6: Final answer
x = 5,050,317,334,942.05
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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.