Finding the Fourth Proportional to 29,836,921,569.84, 41,174,742,304.33 and 16,288,558,727.36
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Solution
The fourth proportional to 29,836,921,569.84, 41,174,742,304.33 and 16,288,558,727.36 is: 22,478,096,694.32
Step by Step Solution
- Step 1: Write the proportion equation
29,836,921,569.84 : 41,174,742,304.33 = 16,288,558,727.36 : x - Step 2: Convert to fraction form
29,836,921,569.84/41,174,742,304.33 = 16,288,558,727.36/x - Step 3: Cross multiply
29,836,921,569.84x = 41,174,742,304.33 × 16,288,558,727.36 - Step 4: Simplify right side
29,836,921,569.84x = 670,677,208,107,738,726,400 - Step 5: Solve for x
x = 670,677,208,107,738,726,400/29,836,921,569.84 - Step 6: Final answer
x = 22,478,096,694.32
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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.