Finding the Fourth Proportional to 13,015,728,900,150, 17,961,708,814,054 and 7,162,836,152,767.50
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Solution
The fourth proportional to 13,015,728,900,150, 17,961,708,814,054 and 7,162,836,152,767.50 is: 9,884,715,504,277.75
Step by Step Solution
- Step 1: Write the proportion equation
13,015,728,900,150 : 17,961,708,814,054 = 7,162,836,152,767.50 : x - Step 2: Convert to fraction form
13,015,728,900,150/17,961,708,814,054 = 7,162,836,152,767.50/x - Step 3: Cross multiply
13,015,728,900,150x = 17,961,708,814,054 × 7,162,836,152,767.50 - Step 4: Simplify right side
13,015,728,900,150x = 128,656,777,258,788,641,482,735,616 - Step 5: Solve for x
x = 128,656,777,258,788,641,482,735,616/13,015,728,900,150 - Step 6: Final answer
x = 9,884,715,504,277.75
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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.