Finding the Fourth Proportional to 230,107,838.68, 345,163,048.38 and 76,753,474.12
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Solution
The fourth proportional to 230,107,838.68, 345,163,048.38 and 76,753,474.12 is: 115,130,641.59
Step by Step Solution
- Step 1: Write the proportion equation
230,107,838.68 : 345,163,048.38 = 76,753,474.12 : x - Step 2: Convert to fraction form
230,107,838.68/345,163,048.38 = 76,753,474.12/x - Step 3: Cross multiply
230,107,838.68x = 345,163,048.38 × 76,753,474.12 - Step 4: Simplify right side
230,107,838.68x = 26,492,463,101,014,640 - Step 5: Solve for x
x = 26,492,463,101,014,640/230,107,838.68 - Step 6: Final answer
x = 115,130,641.59
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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.