Finding the Fourth Proportional to 97,021,451,998.80, 145,532,177,998.20 and 47,309,185,400.40
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Solution
The fourth proportional to 97,021,451,998.80, 145,532,177,998.20 and 47,309,185,400.40 is: 70,963,778,100.60
Step by Step Solution
- Step 1: Write the proportion equation
97,021,451,998.80 : 145,532,177,998.20 = 47,309,185,400.40 : x - Step 2: Convert to fraction form
97,021,451,998.80/145,532,177,998.20 = 47,309,185,400.40/x - Step 3: Cross multiply
97,021,451,998.80x = 145,532,177,998.20 × 47,309,185,400.40 - Step 4: Simplify right side
97,021,451,998.80x = 6,885,008,790,640,858,759,168 - Step 5: Solve for x
x = 6,885,008,790,640,858,759,168/97,021,451,998.80 - Step 6: Final answer
x = 70,963,778,100.60
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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.