Finding the Fourth Proportional to 27,027,551,497.65, 40,541,327,246.48 and 27,027,551,497.65
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Solution
The fourth proportional to 27,027,551,497.65, 40,541,327,246.48 and 27,027,551,497.65 is: 40,541,327,246.48
Step by Step Solution
- Step 1: Write the proportion equation
27,027,551,497.65 : 40,541,327,246.48 = 27,027,551,497.65 : x - Step 2: Convert to fraction form
27,027,551,497.65/40,541,327,246.48 = 27,027,551,497.65/x - Step 3: Cross multiply
27,027,551,497.65x = 40,541,327,246.48 × 27,027,551,497.65 - Step 4: Simplify right side
27,027,551,497.65x = 1,095,732,809,937,184,096,256 - Step 5: Solve for x
x = 1,095,732,809,937,184,096,256/27,027,551,497.65 - Step 6: Final answer
x = 40,541,327,246.48
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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.