Finding the Fourth Proportional to 232,736,295,276.09, 349,104,442,914.14 and 232,736,295,276.09
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Solution
The fourth proportional to 232,736,295,276.09, 349,104,442,914.14 and 232,736,295,276.09 is: 349,104,442,914.14
Step by Step Solution
- Step 1: Write the proportion equation
232,736,295,276.09 : 349,104,442,914.14 = 232,736,295,276.09 : x - Step 2: Convert to fraction form
232,736,295,276.09/349,104,442,914.14 = 232,736,295,276.09/x - Step 3: Cross multiply
232,736,295,276.09x = 349,104,442,914.14 × 232,736,295,276.09 - Step 4: Simplify right side
232,736,295,276.09x = 81,249,274,708,260,200,382,464 - Step 5: Solve for x
x = 81,249,274,708,260,200,382,464/232,736,295,276.09 - Step 6: Final answer
x = 349,104,442,914.14
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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.