Finding the Fourth Proportional to 1,403,303,382,574.90, 2,101,329,863,351.10 and 968,511,908,238.20
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Solution
The fourth proportional to 1,403,303,382,574.90, 2,101,329,863,351.10 and 968,511,908,238.20 is: 1,450,265,866,286.02
Step by Step Solution
- Step 1: Write the proportion equation
1,403,303,382,574.90 : 2,101,329,863,351.10 = 968,511,908,238.20 : x - Step 2: Convert to fraction form
1,403,303,382,574.90/2,101,329,863,351.10 = 968,511,908,238.20/x - Step 3: Cross multiply
1,403,303,382,574.90x = 2,101,329,863,351.10 × 968,511,908,238.20 - Step 4: Simplify right side
1,403,303,382,574.90x = 2,035,162,995,792,089,970,638,848 - Step 5: Solve for x
x = 2,035,162,995,792,089,970,638,848/1,403,303,382,574.90 - Step 6: Final answer
x = 1,450,265,866,286.02
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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.