Finding the Fourth Proportional to 17,742,305,373.36, 24,484,574,907 and 9,821,840,979.12
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Solution
The fourth proportional to 17,742,305,373.36, 24,484,574,907 and 9,821,840,979.12 is: 13,554,247,664.96
Step by Step Solution
- Step 1: Write the proportion equation
17,742,305,373.36 : 24,484,574,907 = 9,821,840,979.12 : x - Step 2: Convert to fraction form
17,742,305,373.36/24,484,574,907 = 9,821,840,979.12/x - Step 3: Cross multiply
17,742,305,373.36x = 24,484,574,907 × 9,821,840,979.12 - Step 4: Simplify right side
17,742,305,373.36x = 240,483,601,177,905,889,280 - Step 5: Solve for x
x = 240,483,601,177,905,889,280/17,742,305,373.36 - Step 6: Final answer
x = 13,554,247,664.96
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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.