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Finding the Fourth Proportional to 460,923,936.40, 691,385,904.60 and 460,923,936.40

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Solution

The fourth proportional to 460,923,936.40, 691,385,904.60 and 460,923,936.40 is: 691,385,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,923,936.40 : 691,385,904.60 = 460,923,936.40 : x
  2. Step 2: Convert to fraction form
    460,923,936.40/691,385,904.60 = 460,923,936.40/x
  3. Step 3: Cross multiply
    460,923,936.40x = 691,385,904.60 × 460,923,936.40
  4. Step 4: Simplify right side
    460,923,936.40x = 318,676,312,719,706,880
  5. Step 5: Solve for x
    x = 318,676,312,719,706,880/460,923,936.40
  6. Step 6: Final answer
    x = 691,385,904.60

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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.