Finding the Fourth Proportional to 5,682,827,441,257, 8,524,742,279,253.70 and 1,603,333,276,941.80
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Solution
The fourth proportional to 5,682,827,441,257, 8,524,742,279,253.70 and 1,603,333,276,941.80 is: 2,405,141,298,933.56
Step by Step Solution
- Step 1: Write the proportion equation
5,682,827,441,257 : 8,524,742,279,253.70 = 1,603,333,276,941.80 : x - Step 2: Convert to fraction form
5,682,827,441,257/8,524,742,279,253.70 = 1,603,333,276,941.80/x - Step 3: Cross multiply
5,682,827,441,257x = 8,524,742,279,253.70 × 1,603,333,276,941.80 - Step 4: Simplify right side
5,682,827,441,257x = 13,668,002,973,680,143,844,769,792 - Step 5: Solve for x
x = 13,668,002,973,680,143,844,769,792/5,682,827,441,257 - Step 6: Final answer
x = 2,405,141,298,933.56
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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.