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Finding the Fourth Proportional to 943,281,819.60, 1,414,922,729.40 and 943,281,819.60

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Solution

The fourth proportional to 943,281,819.60, 1,414,922,729.40 and 943,281,819.60 is: 1,414,922,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,281,819.60 : 1,414,922,729.40 = 943,281,819.60 : x
  2. Step 2: Convert to fraction form
    943,281,819.60/1,414,922,729.40 = 943,281,819.60/x
  3. Step 3: Cross multiply
    943,281,819.60x = 1,414,922,729.40 × 943,281,819.60
  4. Step 4: Simplify right side
    943,281,819.60x = 1,334,670,886,781,830,656
  5. Step 5: Solve for x
    x = 1,334,670,886,781,830,656/943,281,819.60
  6. Step 6: Final answer
    x = 1,414,922,729.40

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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.