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Finding the Fourth Proportional to 106,434,657.60, 159,651,986.40 and 83,476,406.40

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Solution

The fourth proportional to 106,434,657.60, 159,651,986.40 and 83,476,406.40 is: 125,214,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434,657.60 : 159,651,986.40 = 83,476,406.40 : x
  2. Step 2: Convert to fraction form
    106,434,657.60/159,651,986.40 = 83,476,406.40/x
  3. Step 3: Cross multiply
    106,434,657.60x = 159,651,986.40 × 83,476,406.40
  4. Step 4: Simplify right side
    106,434,657.60x = 13,327,174,099,293,674
  5. Step 5: Solve for x
    x = 13,327,174,099,293,674/106,434,657.60
  6. Step 6: Final answer
    x = 125,214,609.60

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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.