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Finding the Fourth Proportional to 786,624,488.80, 1,179,936,733.20 and 786,624,488.80

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Solution

The fourth proportional to 786,624,488.80, 1,179,936,733.20 and 786,624,488.80 is: 1,179,936,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,624,488.80 : 1,179,936,733.20 = 786,624,488.80 : x
  2. Step 2: Convert to fraction form
    786,624,488.80/1,179,936,733.20 = 786,624,488.80/x
  3. Step 3: Cross multiply
    786,624,488.80x = 1,179,936,733.20 × 786,624,488.80
  4. Step 4: Simplify right side
    786,624,488.80x = 928,167,129,569,792,000
  5. Step 5: Solve for x
    x = 928,167,129,569,792,000/786,624,488.80
  6. Step 6: Final answer
    x = 1,179,936,733.20

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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.