Finding the Fourth Proportional to 7,641,843,477,706.50, 11,464,375,313,230 and 2,478,285,869,993.40
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Solution
The fourth proportional to 7,641,843,477,706.50, 11,464,375,313,230 and 2,478,285,869,993.40 is: 3,717,950,966,931.63
Step by Step Solution
- Step 1: Write the proportion equation
7,641,843,477,706.50 : 11,464,375,313,230 = 2,478,285,869,993.40 : x - Step 2: Convert to fraction form
7,641,843,477,706.50/11,464,375,313,230 = 2,478,285,869,993.40/x - Step 3: Cross multiply
7,641,843,477,706.50x = 11,464,375,313,230 × 2,478,285,869,993.40 - Step 4: Simplify right side
7,641,843,477,706.50x = 28,411,999,347,079,067,811,708,928 - Step 5: Solve for x
x = 28,411,999,347,079,067,811,708,928/7,641,843,477,706.50 - Step 6: Final answer
x = 3,717,950,966,931.63
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1.5x scale
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.