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Finding the Fourth Proportional to 974,309,745.60, 1,461,464,618.40 and 945,611,931.60

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Solution

The fourth proportional to 974,309,745.60, 1,461,464,618.40 and 945,611,931.60 is: 1,418,417,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,309,745.60 : 1,461,464,618.40 = 945,611,931.60 : x
  2. Step 2: Convert to fraction form
    974,309,745.60/1,461,464,618.40 = 945,611,931.60/x
  3. Step 3: Cross multiply
    974,309,745.60x = 1,461,464,618.40 × 945,611,931.60
  4. Step 4: Simplify right side
    974,309,745.60x = 1,381,978,380,770,280,960
  5. Step 5: Solve for x
    x = 1,381,978,380,770,280,960/974,309,745.60
  6. Step 6: Final answer
    x = 1,418,417,897.40

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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.