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Finding the Fourth Proportional to 263,819,004,003.40, 395,728,506,005.15 and 263,819,004,003.40

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Solution

The fourth proportional to 263,819,004,003.40, 395,728,506,005.15 and 263,819,004,003.40 is: 395,728,506,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,819,004,003.40 : 395,728,506,005.15 = 263,819,004,003.40 : x
  2. Step 2: Convert to fraction form
    263,819,004,003.40/395,728,506,005.15 = 263,819,004,003.40/x
  3. Step 3: Cross multiply
    263,819,004,003.40x = 395,728,506,005.15 × 263,819,004,003.40
  4. Step 4: Simplify right side
    263,819,004,003.40x = 104,400,700,310,032,180,314,112
  5. Step 5: Solve for x
    x = 104,400,700,310,032,180,314,112/263,819,004,003.40
  6. Step 6: Final answer
    x = 395,728,506,005.15

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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.