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Finding the Fourth Proportional to 3,216,405,417.20, 4,493,784,283.60 and 3,216,405,417.20

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Solution

The fourth proportional to 3,216,405,417.20, 4,493,784,283.60 and 3,216,405,417.20 is: 4,493,784,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216,405,417.20 : 4,493,784,283.60 = 3,216,405,417.20 : x
  2. Step 2: Convert to fraction form
    3,216,405,417.20/4,493,784,283.60 = 3,216,405,417.20/x
  3. Step 3: Cross multiply
    3,216,405,417.20x = 4,493,784,283.60 × 3,216,405,417.20
  4. Step 4: Simplify right side
    3,216,405,417.20x = 14,453,832,113,499,260,928
  5. Step 5: Solve for x
    x = 14,453,832,113,499,260,928/3,216,405,417.20
  6. Step 6: Final answer
    x = 4,493,784,283.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.