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Finding the Fourth Proportional to 110,584,405.80, 165,876,608.70 and 70,223,855.40

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Solution

The fourth proportional to 110,584,405.80, 165,876,608.70 and 70,223,855.40 is: 105,335,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584,405.80 : 165,876,608.70 = 70,223,855.40 : x
  2. Step 2: Convert to fraction form
    110,584,405.80/165,876,608.70 = 70,223,855.40/x
  3. Step 3: Cross multiply
    110,584,405.80x = 165,876,608.70 × 70,223,855.40
  4. Step 4: Simplify right side
    110,584,405.80x = 11,648,494,983,591,182
  5. Step 5: Solve for x
    x = 11,648,494,983,591,182/110,584,405.80
  6. Step 6: Final answer
    x = 105,335,783.10

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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.