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Finding the Fourth Proportional to 800,816,101.60, 1,122,754,973.60 and 800,816,101.60

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Solution

The fourth proportional to 800,816,101.60, 1,122,754,973.60 and 800,816,101.60 is: 1,122,754,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,816,101.60 : 1,122,754,973.60 = 800,816,101.60 : x
  2. Step 2: Convert to fraction form
    800,816,101.60/1,122,754,973.60 = 800,816,101.60/x
  3. Step 3: Cross multiply
    800,816,101.60x = 1,122,754,973.60 × 800,816,101.60
  4. Step 4: Simplify right side
    800,816,101.60x = 899,120,261,010,362,880
  5. Step 5: Solve for x
    x = 899,120,261,010,362,880/800,816,101.60
  6. Step 6: Final answer
    x = 1,122,754,973.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.