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Finding the Fourth Proportional to 871,346,109.60, 1,222,945,653.60 and 871,346,109.60

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Solution

The fourth proportional to 871,346,109.60, 1,222,945,653.60 and 871,346,109.60 is: 1,222,945,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,346,109.60 : 1,222,945,653.60 = 871,346,109.60 : x
  2. Step 2: Convert to fraction form
    871,346,109.60/1,222,945,653.60 = 871,346,109.60/x
  3. Step 3: Cross multiply
    871,346,109.60x = 1,222,945,653.60 × 871,346,109.60
  4. Step 4: Simplify right side
    871,346,109.60x = 1,065,608,937,516,589,184
  5. Step 5: Solve for x
    x = 1,065,608,937,516,589,184/871,346,109.60
  6. Step 6: Final answer
    x = 1,222,945,653.60

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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.