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Finding the Fourth Proportional to 1,585,347,946,609.20, 2,378,021,919,913.80 and 1,585,347,946,609.20

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Solution

The fourth proportional to 1,585,347,946,609.20, 2,378,021,919,913.80 and 1,585,347,946,609.20 is: 2,378,021,919,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,347,946,609.20 : 2,378,021,919,913.80 = 1,585,347,946,609.20 : x
  2. Step 2: Convert to fraction form
    1,585,347,946,609.20/2,378,021,919,913.80 = 1,585,347,946,609.20/x
  3. Step 3: Cross multiply
    1,585,347,946,609.20x = 2,378,021,919,913.80 × 1,585,347,946,609.20
  4. Step 4: Simplify right side
    1,585,347,946,609.20x = 3,769,992,167,727,009,607,188,480
  5. Step 5: Solve for x
    x = 3,769,992,167,727,009,607,188,480/1,585,347,946,609.20
  6. Step 6: Final answer
    x = 2,378,021,919,913.80

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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.