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Finding the Fourth Proportional to 106,309,857.60, 148,934,577.60 and 106,309,857.60

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Solution

The fourth proportional to 106,309,857.60, 148,934,577.60 and 106,309,857.60 is: 148,934,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,309,857.60 : 148,934,577.60 = 106,309,857.60 : x
  2. Step 2: Convert to fraction form
    106,309,857.60/148,934,577.60 = 106,309,857.60/x
  3. Step 3: Cross multiply
    106,309,857.60x = 148,934,577.60 × 106,309,857.60
  4. Step 4: Simplify right side
    106,309,857.60x = 15,833,213,736,372,148
  5. Step 5: Solve for x
    x = 15,833,213,736,372,148/106,309,857.60
  6. Step 6: Final answer
    x = 148,934,577.60

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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.