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Finding the Fourth Proportional to 974,313,884.60, 1,461,470,826.90 and 457,753,232.60

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Solution

The fourth proportional to 974,313,884.60, 1,461,470,826.90 and 457,753,232.60 is: 686,629,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,313,884.60 : 1,461,470,826.90 = 457,753,232.60 : x
  2. Step 2: Convert to fraction form
    974,313,884.60/1,461,470,826.90 = 457,753,232.60/x
  3. Step 3: Cross multiply
    974,313,884.60x = 1,461,470,826.90 × 457,753,232.60
  4. Step 4: Simplify right side
    974,313,884.60x = 668,992,995,364,070,144
  5. Step 5: Solve for x
    x = 668,992,995,364,070,144/974,313,884.60
  6. Step 6: Final answer
    x = 686,629,848.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.