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Finding the Fourth Proportional to 2,769,037,974,327.50, 4,153,556,961,491.30 and 2,769,037,974,327.50

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Solution

The fourth proportional to 2,769,037,974,327.50, 4,153,556,961,491.30 and 2,769,037,974,327.50 is: 4,153,556,961,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,037,974,327.50 : 4,153,556,961,491.30 = 2,769,037,974,327.50 : x
  2. Step 2: Convert to fraction form
    2,769,037,974,327.50/4,153,556,961,491.30 = 2,769,037,974,327.50/x
  3. Step 3: Cross multiply
    2,769,037,974,327.50x = 4,153,556,961,491.30 × 2,769,037,974,327.50
  4. Step 4: Simplify right side
    2,769,037,974,327.50x = 11,501,356,954,901,754,473,873,408
  5. Step 5: Solve for x
    x = 11,501,356,954,901,754,473,873,408/2,769,037,974,327.50
  6. Step 6: Final answer
    x = 4,153,556,961,491.30

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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.