Finding the Fourth Proportional to 9,946,406,072.79, 13,732,236,088.07 and 6,331,470,238.13
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Solution
The fourth proportional to 9,946,406,072.79, 13,732,236,088.07 and 6,331,470,238.13 is: 8,741,372,859.52
Step by Step Solution
- Step 1: Write the proportion equation
9,946,406,072.79 : 13,732,236,088.07 = 6,331,470,238.13 : x - Step 2: Convert to fraction form
9,946,406,072.79/13,732,236,088.07 = 6,331,470,238.13/x - Step 3: Cross multiply
9,946,406,072.79x = 13,732,236,088.07 × 6,331,470,238.13 - Step 4: Simplify right side
9,946,406,072.79x = 86,945,244,094,489,624,576 - Step 5: Solve for x
x = 86,945,244,094,489,624,576/9,946,406,072.79 - Step 6: Final answer
x = 8,741,372,859.52
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1.5x scale
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.