Finding the Fourth Proportional to 164,130,875,621.67, 245,875,683,879.21 and 113,070,152,877.99
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Solution
The fourth proportional to 164,130,875,621.67, 245,875,683,879.21 and 113,070,152,877.99 is: 169,384,346,850.66
Step by Step Solution
- Step 1: Write the proportion equation
164,130,875,621.67 : 245,875,683,879.21 = 113,070,152,877.99 : x - Step 2: Convert to fraction form
164,130,875,621.67/245,875,683,879.21 = 113,070,152,877.99/x - Step 3: Cross multiply
164,130,875,621.67x = 245,875,683,879.21 × 113,070,152,877.99 - Step 4: Simplify right side
164,130,875,621.67x = 27,801,201,165,202,618,318,848 - Step 5: Solve for x
x = 27,801,201,165,202,618,318,848/164,130,875,621.67 - Step 6: Final answer
x = 169,384,346,850.66
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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.