Finding the Fourth Proportional to 46,032,444,107,736, 69,048,666,959,316 and 11,180,913,129,323
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Solution
The fourth proportional to 46,032,444,107,736, 69,048,666,959,316 and 11,180,913,129,323 is: 16,771,369,887,742.38
Step by Step Solution
- Step 1: Write the proportion equation
46,032,444,107,736 : 69,048,666,959,316 = 11,180,913,129,323 : x - Step 2: Convert to fraction form
46,032,444,107,736/69,048,666,959,316 = 11,180,913,129,323/x - Step 3: Cross multiply
46,032,444,107,736x = 69,048,666,959,316 × 11,180,913,129,323 - Step 4: Simplify right side
46,032,444,107,736x = 772,027,146,967,667,481,409,224,704 - Step 5: Solve for x
x = 772,027,146,967,667,481,409,224,704/46,032,444,107,736 - Step 6: Final answer
x = 16,771,369,887,742.38
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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.