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Finding the Fourth Proportional to 30,329,729.10, 45,494,593.65 and 30,329,729.10

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Solution

The fourth proportional to 30,329,729.10, 45,494,593.65 and 30,329,729.10 is: 45,494,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329,729.10 : 45,494,593.65 = 30,329,729.10 : x
  2. Step 2: Convert to fraction form
    30,329,729.10/45,494,593.65 = 30,329,729.10/x
  3. Step 3: Cross multiply
    30,329,729.10x = 45,494,593.65 × 30,329,729.10
  4. Step 4: Simplify right side
    30,329,729.10x = 1,379,838,700,919,080.25
  5. Step 5: Solve for x
    x = 1,379,838,700,919,080.25/30,329,729.10
  6. Step 6: Final answer
    x = 45,494,593.65

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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.