Finding the Fourth Proportional to 97,786,512,052.65, 146,679,768,078.97 and 97,786,512,052.65
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Solution
The fourth proportional to 97,786,512,052.65, 146,679,768,078.97 and 97,786,512,052.65 is: 146,679,768,078.97
Step by Step Solution
- Step 1: Write the proportion equation
97,786,512,052.65 : 146,679,768,078.97 = 97,786,512,052.65 : x - Step 2: Convert to fraction form
97,786,512,052.65/146,679,768,078.97 = 97,786,512,052.65/x - Step 3: Cross multiply
97,786,512,052.65x = 146,679,768,078.97 × 97,786,512,052.65 - Step 4: Simplify right side
97,786,512,052.65x = 14,343,302,909,134,106,525,696 - Step 5: Solve for x
x = 14,343,302,909,134,106,525,696/97,786,512,052.65 - Step 6: Final answer
x = 146,679,768,078.97
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1.5x scale
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.