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Finding the Fourth Proportional to 1,163,605,537.60, 1,745,408,306.40 and 1,163,605,537.60

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Solution

The fourth proportional to 1,163,605,537.60, 1,745,408,306.40 and 1,163,605,537.60 is: 1,745,408,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,605,537.60 : 1,745,408,306.40 = 1,163,605,537.60 : x
  2. Step 2: Convert to fraction form
    1,163,605,537.60/1,745,408,306.40 = 1,163,605,537.60/x
  3. Step 3: Cross multiply
    1,163,605,537.60x = 1,745,408,306.40 × 1,163,605,537.60
  4. Step 4: Simplify right side
    1,163,605,537.60x = 2,030,966,770,700,077,568
  5. Step 5: Solve for x
    x = 2,030,966,770,700,077,568/1,163,605,537.60
  6. Step 6: Final answer
    x = 1,745,408,306.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.