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Finding the Fourth Proportional to 145,224,374.40, 203,465,289.60 and 145,224,374.40

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Solution

The fourth proportional to 145,224,374.40, 203,465,289.60 and 145,224,374.40 is: 203,465,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,224,374.40 : 203,465,289.60 = 145,224,374.40 : x
  2. Step 2: Convert to fraction form
    145,224,374.40/203,465,289.60 = 145,224,374.40/x
  3. Step 3: Cross multiply
    145,224,374.40x = 203,465,289.60 × 145,224,374.40
  4. Step 4: Simplify right side
    145,224,374.40x = 29,548,119,394,274,828
  5. Step 5: Solve for x
    x = 29,548,119,394,274,828/145,224,374.40
  6. Step 6: Final answer
    x = 203,465,289.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.