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Finding the Fourth Proportional to 36,397,585,646.40, 54,596,378,469.60 and 36,397,585,646.40

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Solution

The fourth proportional to 36,397,585,646.40, 54,596,378,469.60 and 36,397,585,646.40 is: 54,596,378,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,397,585,646.40 : 54,596,378,469.60 = 36,397,585,646.40 : x
  2. Step 2: Convert to fraction form
    36,397,585,646.40/54,596,378,469.60 = 36,397,585,646.40/x
  3. Step 3: Cross multiply
    36,397,585,646.40x = 54,596,378,469.60 × 36,397,585,646.40
  4. Step 4: Simplify right side
    36,397,585,646.40x = 1,987,176,361,330,535,038,976
  5. Step 5: Solve for x
    x = 1,987,176,361,330,535,038,976/36,397,585,646.40
  6. Step 6: Final answer
    x = 54,596,378,469.60

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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.