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Finding the Fourth Proportional to 1,886,530,835.80, 2,829,796,253.70 and 1,886,530,835.80

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Solution

The fourth proportional to 1,886,530,835.80, 2,829,796,253.70 and 1,886,530,835.80 is: 2,829,796,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886,530,835.80 : 2,829,796,253.70 = 1,886,530,835.80 : x
  2. Step 2: Convert to fraction form
    1,886,530,835.80/2,829,796,253.70 = 1,886,530,835.80/x
  3. Step 3: Cross multiply
    1,886,530,835.80x = 2,829,796,253.70 × 1,886,530,835.80
  4. Step 4: Simplify right side
    1,886,530,835.80x = 5,338,497,891,636,369,408
  5. Step 5: Solve for x
    x = 5,338,497,891,636,369,408/1,886,530,835.80
  6. Step 6: Final answer
    x = 2,829,796,253.70

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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.