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Finding the Fourth Proportional to 746,796,851.10, 1,120,195,276.65 and 746,796,851.10

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Solution

The fourth proportional to 746,796,851.10, 1,120,195,276.65 and 746,796,851.10 is: 1,120,195,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,796,851.10 : 1,120,195,276.65 = 746,796,851.10 : x
  2. Step 2: Convert to fraction form
    746,796,851.10/1,120,195,276.65 = 746,796,851.10/x
  3. Step 3: Cross multiply
    746,796,851.10x = 1,120,195,276.65 × 746,796,851.10
  4. Step 4: Simplify right side
    746,796,851.10x = 836,558,305,219,313,408
  5. Step 5: Solve for x
    x = 836,558,305,219,313,408/746,796,851.10
  6. Step 6: Final answer
    x = 1,120,195,276.65

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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.