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Finding the Fourth Proportional to 193,225,344.30, 289,838,016.45 and 193,225,344.30

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Solution

The fourth proportional to 193,225,344.30, 289,838,016.45 and 193,225,344.30 is: 289,838,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,225,344.30 : 289,838,016.45 = 193,225,344.30 : x
  2. Step 2: Convert to fraction form
    193,225,344.30/289,838,016.45 = 193,225,344.30/x
  3. Step 3: Cross multiply
    193,225,344.30x = 289,838,016.45 × 193,225,344.30
  4. Step 4: Simplify right side
    193,225,344.30x = 56,004,050,519,780,312
  5. Step 5: Solve for x
    x = 56,004,050,519,780,312/193,225,344.30
  6. Step 6: Final answer
    x = 289,838,016.45

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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.