Finding the Fourth Proportional to 408,415,248.96, 563,821,169.76 and 315,386,917.44
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Solution
The fourth proportional to 408,415,248.96, 563,821,169.76 and 315,386,917.44 is: 435,394,665.53
Step by Step Solution
- Step 1: Write the proportion equation
408,415,248.96 : 563,821,169.76 = 315,386,917.44 : x - Step 2: Convert to fraction form
408,415,248.96/563,821,169.76 = 315,386,917.44/x - Step 3: Cross multiply
408,415,248.96x = 563,821,169.76 × 315,386,917.44 - Step 4: Simplify right side
408,415,248.96x = 177,821,820,718,021,344 - Step 5: Solve for x
x = 177,821,820,718,021,344/408,415,248.96 - Step 6: Final answer
x = 435,394,665.53
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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.