Finding the Fourth Proportional to 97,785,146,743.80, 146,677,720,115.70 and 93,136,100,875.80
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Solution
The fourth proportional to 97,785,146,743.80, 146,677,720,115.70 and 93,136,100,875.80 is: 139,704,151,313.70
Step by Step Solution
- Step 1: Write the proportion equation
97,785,146,743.80 : 146,677,720,115.70 = 93,136,100,875.80 : x - Step 2: Convert to fraction form
97,785,146,743.80/146,677,720,115.70 = 93,136,100,875.80/x - Step 3: Cross multiply
97,785,146,743.80x = 146,677,720,115.70 × 93,136,100,875.80 - Step 4: Simplify right side
97,785,146,743.80x = 13,660,990,936,928,195,969,024 - Step 5: Solve for x
x = 13,660,990,936,928,195,969,024/97,785,146,743.80 - Step 6: Final answer
x = 139,704,151,313.70
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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.