Finding the Fourth Proportional to 675,455,052,678.06, 1,013,354,074,283.90 and 312,682,255,231.98
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Solution
The fourth proportional to 675,455,052,678.06, 1,013,354,074,283.90 and 312,682,255,231.98 is: 469,102,771,589.79
Step by Step Solution
- Step 1: Write the proportion equation
675,455,052,678.06 : 1,013,354,074,283.90 = 312,682,255,231.98 : x - Step 2: Convert to fraction form
675,455,052,678.06/1,013,354,074,283.90 = 312,682,255,231.98/x - Step 3: Cross multiply
675,455,052,678.06x = 1,013,354,074,283.90 × 312,682,255,231.98 - Step 4: Simplify right side
675,455,052,678.06x = 316,857,837,295,605,213,298,688 - Step 5: Solve for x
x = 316,857,837,295,605,213,298,688/675,455,052,678.06 - Step 6: Final answer
x = 469,102,771,589.79
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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.