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Finding the Fourth Proportional to 746,796,801.60, 1,120,195,202.40 and 746,796,801.60

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Solution

The fourth proportional to 746,796,801.60, 1,120,195,202.40 and 746,796,801.60 is: 1,120,195,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,796,801.60 : 1,120,195,202.40 = 746,796,801.60 : x
  2. Step 2: Convert to fraction form
    746,796,801.60/1,120,195,202.40 = 746,796,801.60/x
  3. Step 3: Cross multiply
    746,796,801.60x = 1,120,195,202.40 × 746,796,801.60
  4. Step 4: Simplify right side
    746,796,801.60x = 836,558,194,319,984,768
  5. Step 5: Solve for x
    x = 836,558,194,319,984,768/746,796,801.60
  6. Step 6: Final answer
    x = 1,120,195,202.40

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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.