Finding the Fourth Proportional to 12,258,527,795,254, 18,387,809,390,012 and 5,006,030,260,470
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Solution
The fourth proportional to 12,258,527,795,254, 18,387,809,390,012 and 5,006,030,260,470 is: 7,509,052,617,704.42
Step by Step Solution
- Step 1: Write the proportion equation
12,258,527,795,254 : 18,387,809,390,012 = 5,006,030,260,470 : x - Step 2: Convert to fraction form
12,258,527,795,254/18,387,809,390,012 = 5,006,030,260,470/x - Step 3: Cross multiply
12,258,527,795,254x = 18,387,809,390,012 × 5,006,030,260,470 - Step 4: Simplify right side
12,258,527,795,254x = 92,049,930,230,154,483,057,295,360 - Step 5: Solve for x
x = 92,049,930,230,154,483,057,295,360/12,258,527,795,254 - Step 6: Final answer
x = 7,509,052,617,704.42
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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.