Finding the Fourth Proportional to 686,087,507,152.80, 948,159,211,613.04 and 562,293,391,455.92
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Solution
The fourth proportional to 686,087,507,152.80, 948,159,211,613.04 and 562,293,391,455.92 is: 777,078,219,876.89
Step by Step Solution
- Step 1: Write the proportion equation
686,087,507,152.80 : 948,159,211,613.04 = 562,293,391,455.92 : x - Step 2: Convert to fraction form
686,087,507,152.80/948,159,211,613.04 = 562,293,391,455.92/x - Step 3: Cross multiply
686,087,507,152.80x = 948,159,211,613.04 × 562,293,391,455.92 - Step 4: Simplify right side
686,087,507,152.80x = 533,143,658,738,067,678,691,328 - Step 5: Solve for x
x = 533,143,658,738,067,678,691,328/686,087,507,152.80 - Step 6: Final answer
x = 777,078,219,876.89
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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.