Finding the Fourth Proportional to 333,125,820,072.09, 459,713,631,699.48 and 190,555,080,120.06
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Solution
The fourth proportional to 333,125,820,072.09, 459,713,631,699.48 and 190,555,080,120.06 is: 262,966,010,565.68
Step by Step Solution
- Step 1: Write the proportion equation
333,125,820,072.09 : 459,713,631,699.48 = 190,555,080,120.06 : x - Step 2: Convert to fraction form
333,125,820,072.09/459,713,631,699.48 = 190,555,080,120.06/x - Step 3: Cross multiply
333,125,820,072.09x = 459,713,631,699.48 × 190,555,080,120.06 - Step 4: Simplify right side
333,125,820,072.09x = 87,600,767,920,778,166,403,072 - Step 5: Solve for x
x = 87,600,767,920,778,166,403,072/333,125,820,072.09 - Step 6: Final answer
x = 262,966,010,565.68
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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.