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Finding the Fourth Proportional to 305,698,845.60, 458,548,268.40 and 305,698,845.60

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Solution

The fourth proportional to 305,698,845.60, 458,548,268.40 and 305,698,845.60 is: 458,548,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,698,845.60 : 458,548,268.40 = 305,698,845.60 : x
  2. Step 2: Convert to fraction form
    305,698,845.60/458,548,268.40 = 305,698,845.60/x
  3. Step 3: Cross multiply
    305,698,845.60x = 458,548,268.40 × 305,698,845.60
  4. Step 4: Simplify right side
    305,698,845.60x = 140,177,676,301,758,960
  5. Step 5: Solve for x
    x = 140,177,676,301,758,960/305,698,845.60
  6. Step 6: Final answer
    x = 458,548,268.40

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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.