Finding the Fourth Proportional to 380,268,869,721.75, 524,783,625,323.49 and 208,996,872,032.09
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Solution
The fourth proportional to 380,268,869,721.75, 524,783,625,323.49 and 208,996,872,032.09 is: 288,422,600,215.80
Step by Step Solution
- Step 1: Write the proportion equation
380,268,869,721.75 : 524,783,625,323.49 = 208,996,872,032.09 : x - Step 2: Convert to fraction form
380,268,869,721.75/524,783,625,323.49 = 208,996,872,032.09/x - Step 3: Cross multiply
380,268,869,721.75x = 524,783,625,323.49 × 208,996,872,032.09 - Step 4: Simplify right side
380,268,869,721.75x = 109,678,136,186,269,704,650,752 - Step 5: Solve for x
x = 109,678,136,186,269,704,650,752/380,268,869,721.75 - Step 6: Final answer
x = 288,422,600,215.80
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.