Finding the Fourth Proportional to 106,918,023,354.06, 160,277,333,101.86 and 36,123,224,574.99
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Solution
The fourth proportional to 106,918,023,354.06, 160,277,333,101.86 and 36,123,224,574.99 is: 54,151,151,660.80
Step by Step Solution
- Step 1: Write the proportion equation
106,918,023,354.06 : 160,277,333,101.86 = 36,123,224,574.99 : x - Step 2: Convert to fraction form
106,918,023,354.06/160,277,333,101.86 = 36,123,224,574.99/x - Step 3: Cross multiply
106,918,023,354.06x = 160,277,333,101.86 × 36,123,224,574.99 - Step 4: Simplify right side
106,918,023,354.06x = 5,789,734,097,918,966,628,352 - Step 5: Solve for x
x = 5,789,734,097,918,966,628,352/106,918,023,354.06 - Step 6: Final answer
x = 54,151,151,660.80
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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.