Finding the Fourth Proportional to 12,562,625,256,195, 18,849,663,520,686 and 6,447,624,675,031
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Solution
The fourth proportional to 12,562,625,256,195, 18,849,663,520,686 and 6,447,624,675,031 is: 9,674,375,630,370.25
Step by Step Solution
- Step 1: Write the proportion equation
12,562,625,256,195 : 18,849,663,520,686 = 6,447,624,675,031 : x - Step 2: Convert to fraction form
12,562,625,256,195/18,849,663,520,686 = 6,447,624,675,031/x - Step 3: Cross multiply
12,562,625,256,195x = 18,849,663,520,686 × 6,447,624,675,031 - Step 4: Simplify right side
12,562,625,256,195x = 121,535,555,632,006,768,713,793,536 - Step 5: Solve for x
x = 121,535,555,632,006,768,713,793,536/12,562,625,256,195 - Step 6: Final answer
x = 9,674,375,630,370.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.