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Finding the Fourth Proportional to 804,826,809.10, 1,207,240,213.65 and 804,826,809.10

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Solution

The fourth proportional to 804,826,809.10, 1,207,240,213.65 and 804,826,809.10 is: 1,207,240,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,826,809.10 : 1,207,240,213.65 = 804,826,809.10 : x
  2. Step 2: Convert to fraction form
    804,826,809.10/1,207,240,213.65 = 804,826,809.10/x
  3. Step 3: Cross multiply
    804,826,809.10x = 1,207,240,213.65 × 804,826,809.10
  4. Step 4: Simplify right side
    804,826,809.10x = 971,619,288,969,131,904
  5. Step 5: Solve for x
    x = 971,619,288,969,131,904/804,826,809.10
  6. Step 6: Final answer
    x = 1,207,240,213.65

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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.