Finding the Fourth Proportional to 284,190,424,752.58, 392,202,027,808.62 and 160,548,681,259.23
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Solution
The fourth proportional to 284,190,424,752.58, 392,202,027,808.62 and 160,548,681,259.23 is: 221,568,050,389.77
Step by Step Solution
- Step 1: Write the proportion equation
284,190,424,752.58 : 392,202,027,808.62 = 160,548,681,259.23 : x - Step 2: Convert to fraction form
284,190,424,752.58/392,202,027,808.62 = 160,548,681,259.23/x - Step 3: Cross multiply
284,190,424,752.58x = 392,202,027,808.62 × 160,548,681,259.23 - Step 4: Simplify right side
284,190,424,752.58x = 62,967,518,351,869,798,776,832 - Step 5: Solve for x
x = 62,967,518,351,869,798,776,832/284,190,424,752.58 - Step 6: Final answer
x = 221,568,050,389.77
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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.