Finding the Fourth Proportional to 7,031,146,268.48, 9,702,790,075.68 and 3,859,325,821.76
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Solution
The fourth proportional to 7,031,146,268.48, 9,702,790,075.68 and 3,859,325,821.76 is: 5,325,764,370.75
Step by Step Solution
- Step 1: Write the proportion equation
7,031,146,268.48 : 9,702,790,075.68 = 3,859,325,821.76 : x - Step 2: Convert to fraction form
7,031,146,268.48/9,702,790,075.68 = 3,859,325,821.76/x - Step 3: Cross multiply
7,031,146,268.48x = 9,702,790,075.68 × 3,859,325,821.76 - Step 4: Simplify right side
7,031,146,268.48x = 37,446,228,282,188,488,704 - Step 5: Solve for x
x = 37,446,228,282,188,488,704/7,031,146,268.48 - Step 6: Final answer
x = 5,325,764,370.75
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1.5x scale
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.