Finding the Fourth Proportional to 7,469,295,206.90, 10,307,637,429.75 and 4,297,415,506.18
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Solution
The fourth proportional to 7,469,295,206.90, 10,307,637,429.75 and 4,297,415,506.18 is: 5,930,439,177.42
Step by Step Solution
- Step 1: Write the proportion equation
7,469,295,206.90 : 10,307,637,429.75 = 4,297,415,506.18 : x - Step 2: Convert to fraction form
7,469,295,206.90/10,307,637,429.75 = 4,297,415,506.18/x - Step 3: Cross multiply
7,469,295,206.90x = 10,307,637,429.75 × 4,297,415,506.18 - Step 4: Simplify right side
7,469,295,206.90x = 44,296,200,922,662,207,488 - Step 5: Solve for x
x = 44,296,200,922,662,207,488/7,469,295,206.90 - Step 6: Final answer
x = 5,930,439,177.42
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1.5x scale
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.