Finding the Fourth Proportional to 1,622,685,415,062.40, 2,434,106,399,306.90 and 533,558,297,455.65
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Solution
The fourth proportional to 1,622,685,415,062.40, 2,434,106,399,306.90 and 533,558,297,455.65 is: 800,363,184,499.41
Step by Step Solution
- Step 1: Write the proportion equation
1,622,685,415,062.40 : 2,434,106,399,306.90 = 533,558,297,455.65 : x - Step 2: Convert to fraction form
1,622,685,415,062.40/2,434,106,399,306.90 = 533,558,297,455.65/x - Step 3: Cross multiply
1,622,685,415,062.40x = 2,434,106,399,306.90 × 533,558,297,455.65 - Step 4: Simplify right side
1,622,685,415,062.40x = 1,298,737,666,240,092,252,930,048 - Step 5: Solve for x
x = 1,298,737,666,240,092,252,930,048/1,622,685,415,062.40 - Step 6: Final answer
x = 800,363,184,499.41
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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.