Finding the Fourth Proportional to 442,767,231,308.96, 611,019,368,444.15 and 239,771,352,050
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Solution
The fourth proportional to 442,767,231,308.96, 611,019,368,444.15 and 239,771,352,050 is: 330,884,784,918.42
Step by Step Solution
- Step 1: Write the proportion equation
442,767,231,308.96 : 611,019,368,444.15 = 239,771,352,050 : x - Step 2: Convert to fraction form
442,767,231,308.96/611,019,368,444.15 = 239,771,352,050/x - Step 3: Cross multiply
442,767,231,308.96x = 611,019,368,444.15 × 239,771,352,050 - Step 4: Simplify right side
442,767,231,308.96x = 146,504,940,100,590,952,775,680 - Step 5: Solve for x
x = 146,504,940,100,590,952,775,680/442,767,231,308.96 - Step 6: Final answer
x = 330,884,784,918.42
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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.