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Finding the Fourth Proportional to 443,303,314.40, 663,443,317.20 and 443,303,314.40

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Solution

The fourth proportional to 443,303,314.40, 663,443,317.20 and 443,303,314.40 is: 663,443,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,303,314.40 : 663,443,317.20 = 443,303,314.40 : x
  2. Step 2: Convert to fraction form
    443,303,314.40/663,443,317.20 = 443,303,314.40/x
  3. Step 3: Cross multiply
    443,303,314.40x = 663,443,317.20 × 443,303,314.40
  4. Step 4: Simplify right side
    443,303,314.40x = 294,106,621,431,290,560
  5. Step 5: Solve for x
    x = 294,106,621,431,290,560/443,303,314.40
  6. Step 6: Final answer
    x = 663,443,317.20

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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.