Finding the Fourth Proportional to 180,160,620,392.06, 248,605,223,109.99 and 106,904,226,092.12
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Solution
The fourth proportional to 180,160,620,392.06, 248,605,223,109.99 and 106,904,226,092.12 is: 147,518,080,927.99
Step by Step Solution
- Step 1: Write the proportion equation
180,160,620,392.06 : 248,605,223,109.99 = 106,904,226,092.12 : x - Step 2: Convert to fraction form
180,160,620,392.06/248,605,223,109.99 = 106,904,226,092.12/x - Step 3: Cross multiply
180,160,620,392.06x = 248,605,223,109.99 × 106,904,226,092.12 - Step 4: Simplify right side
180,160,620,392.06x = 26,576,948,979,032,303,599,616 - Step 5: Solve for x
x = 26,576,948,979,032,303,599,616/180,160,620,392.06 - Step 6: Final answer
x = 147,518,080,927.99
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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.