Finding the Fourth Proportional to 5,146,754,138.16, 7,718,855,748.48 and 1,466,291,379.12
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Solution
The fourth proportional to 5,146,754,138.16, 7,718,855,748.48 and 1,466,291,379.12 is: 2,199,073,695.16
Step by Step Solution
- Step 1: Write the proportion equation
5,146,754,138.16 : 7,718,855,748.48 = 1,466,291,379.12 : x - Step 2: Convert to fraction form
5,146,754,138.16/7,718,855,748.48 = 1,466,291,379.12/x - Step 3: Cross multiply
5,146,754,138.16x = 7,718,855,748.48 × 1,466,291,379.12 - Step 4: Simplify right side
5,146,754,138.16x = 11,318,091,640,667,076,608 - Step 5: Solve for x
x = 11,318,091,640,667,076,608/5,146,754,138.16 - Step 6: Final answer
x = 2,199,073,695.16
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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.