Finding the Fourth Proportional to 48,162,001,243.12, 66,448,567,148.10 and 27,832,050,557.68
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Solution
The fourth proportional to 48,162,001,243.12, 66,448,567,148.10 and 27,832,050,557.68 is: 38,399,564,648.81
Step by Step Solution
- Step 1: Write the proportion equation
48,162,001,243.12 : 66,448,567,148.10 = 27,832,050,557.68 : x - Step 2: Convert to fraction form
48,162,001,243.12/66,448,567,148.10 = 27,832,050,557.68/x - Step 3: Cross multiply
48,162,001,243.12x = 66,448,567,148.10 × 27,832,050,557.68 - Step 4: Simplify right side
48,162,001,243.12x = 1,849,399,880,351,313,559,552 - Step 5: Solve for x
x = 1,849,399,880,351,313,559,552/48,162,001,243.12 - Step 6: Final answer
x = 38,399,564,648.81
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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.