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Finding the Fourth Proportional to 1,200,512,430.40, 1,800,768,645.60 and 996,439,086.40

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Solution

The fourth proportional to 1,200,512,430.40, 1,800,768,645.60 and 996,439,086.40 is: 1,494,658,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,512,430.40 : 1,800,768,645.60 = 996,439,086.40 : x
  2. Step 2: Convert to fraction form
    1,200,512,430.40/1,800,768,645.60 = 996,439,086.40/x
  3. Step 3: Cross multiply
    1,200,512,430.40x = 1,800,768,645.60 × 996,439,086.40
  4. Step 4: Simplify right side
    1,200,512,430.40x = 1,794,356,264,039,429,120
  5. Step 5: Solve for x
    x = 1,794,356,264,039,429,120/1,200,512,430.40
  6. Step 6: Final answer
    x = 1,494,658,629.60

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Double scale
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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.