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Finding the Fourth Proportional to 305,698,811.10, 458,548,216.65 and 305,698,811.10

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Solution

The fourth proportional to 305,698,811.10, 458,548,216.65 and 305,698,811.10 is: 458,548,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,698,811.10 : 458,548,216.65 = 305,698,811.10 : x
  2. Step 2: Convert to fraction form
    305,698,811.10/458,548,216.65 = 305,698,811.10/x
  3. Step 3: Cross multiply
    305,698,811.10x = 458,548,216.65 × 305,698,811.10
  4. Step 4: Simplify right side
    305,698,811.10x = 140,177,644,661,930,224
  5. Step 5: Solve for x
    x = 140,177,644,661,930,224/305,698,811.10
  6. Step 6: Final answer
    x = 458,548,216.65

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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.