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Finding the Fourth Proportional to 1,886,530,709.80, 2,829,796,064.70 and 1,886,530,709.80

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Solution

The fourth proportional to 1,886,530,709.80, 2,829,796,064.70 and 1,886,530,709.80 is: 2,829,796,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886,530,709.80 : 2,829,796,064.70 = 1,886,530,709.80 : x
  2. Step 2: Convert to fraction form
    1,886,530,709.80/2,829,796,064.70 = 1,886,530,709.80/x
  3. Step 3: Cross multiply
    1,886,530,709.80x = 2,829,796,064.70 × 1,886,530,709.80
  4. Step 4: Simplify right side
    1,886,530,709.80x = 5,338,497,178,527,736,832
  5. Step 5: Solve for x
    x = 5,338,497,178,527,736,832/1,886,530,709.80
  6. Step 6: Final answer
    x = 2,829,796,064.70

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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.