Finding the Fourth Proportional to 2,048,205,828,673.30, 3,072,497,599,197.30 and 669,816,988,762.32
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Solution
The fourth proportional to 2,048,205,828,673.30, 3,072,497,599,197.30 and 669,816,988,762.32 is: 1,004,787,244,066.60
Step by Step Solution
- Step 1: Write the proportion equation
2,048,205,828,673.30 : 3,072,497,599,197.30 = 669,816,988,762.32 : x - Step 2: Convert to fraction form
2,048,205,828,673.30/3,072,497,599,197.30 = 669,816,988,762.32/x - Step 3: Cross multiply
2,048,205,828,673.30x = 3,072,497,599,197.30 × 669,816,988,762.32 - Step 4: Simplify right side
2,048,205,828,673.30x = 2,058,011,089,873,792,900,530,176 - Step 5: Solve for x
x = 2,058,011,089,873,792,900,530,176/2,048,205,828,673.30 - Step 6: Final answer
x = 1,004,787,244,066.60
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.