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Finding the Fourth Proportional to 632,164,516.40, 946,971,316.20 and 632,164,516.40

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Solution

The fourth proportional to 632,164,516.40, 946,971,316.20 and 632,164,516.40 is: 946,971,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,164,516.40 : 946,971,316.20 = 632,164,516.40 : x
  2. Step 2: Convert to fraction form
    632,164,516.40/946,971,316.20 = 632,164,516.40/x
  3. Step 3: Cross multiply
    632,164,516.40x = 946,971,316.20 × 632,164,516.40
  4. Step 4: Simplify right side
    632,164,516.40x = 598,641,664,150,244,480
  5. Step 5: Solve for x
    x = 598,641,664,150,244,480/632,164,516.40
  6. Step 6: Final answer
    x = 946,971,316.20

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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.