Finding the Fourth Proportional to 157,423,867,298.09, 236,135,800,947.11 and 157,423,867,298.09
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Solution
The fourth proportional to 157,423,867,298.09, 236,135,800,947.11 and 157,423,867,298.09 is: 236,135,800,947.11
Step by Step Solution
- Step 1: Write the proportion equation
157,423,867,298.09 : 236,135,800,947.11 = 157,423,867,298.09 : x - Step 2: Convert to fraction form
157,423,867,298.09/236,135,800,947.11 = 157,423,867,298.09/x - Step 3: Cross multiply
157,423,867,298.09x = 236,135,800,947.11 × 157,423,867,298.09 - Step 4: Simplify right side
157,423,867,298.09x = 37,173,410,992,626,037,948,416 - Step 5: Solve for x
x = 37,173,410,992,626,037,948,416/157,423,867,298.09 - Step 6: Final answer
x = 236,135,800,947.11
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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.