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Finding the Fourth Proportional to 157,464,010.80, 235,770,863.40 and 157,464,010.80

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Solution

The fourth proportional to 157,464,010.80, 235,770,863.40 and 157,464,010.80 is: 235,770,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464,010.80 : 235,770,863.40 = 157,464,010.80 : x
  2. Step 2: Convert to fraction form
    157,464,010.80/235,770,863.40 = 157,464,010.80/x
  3. Step 3: Cross multiply
    157,464,010.80x = 235,770,863.40 × 157,464,010.80
  4. Step 4: Simplify right side
    157,464,010.80x = 37,125,425,780,742,928
  5. Step 5: Solve for x
    x = 37,125,425,780,742,928/157,464,010.80
  6. Step 6: Final answer
    x = 235,770,863.40

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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.