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Finding the Fourth Proportional to 106,308,801.60, 148,933,099.20 and 106,308,801.60

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Solution

The fourth proportional to 106,308,801.60, 148,933,099.20 and 106,308,801.60 is: 148,933,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,801.60 : 148,933,099.20 = 106,308,801.60 : x
  2. Step 2: Convert to fraction form
    106,308,801.60/148,933,099.20 = 106,308,801.60/x
  3. Step 3: Cross multiply
    106,308,801.60x = 148,933,099.20 × 106,308,801.60
  4. Step 4: Simplify right side
    106,308,801.60x = 15,832,899,294,525,916
  5. Step 5: Solve for x
    x = 15,832,899,294,525,916/106,308,801.60
  6. Step 6: Final answer
    x = 148,933,099.20

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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.