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Finding the Fourth Proportional to 75,464,009.80, 113,196,014.70 and 75,464,009.80

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Solution

The fourth proportional to 75,464,009.80, 113,196,014.70 and 75,464,009.80 is: 113,196,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464,009.80 : 113,196,014.70 = 75,464,009.80 : x
  2. Step 2: Convert to fraction form
    75,464,009.80/113,196,014.70 = 75,464,009.80/x
  3. Step 3: Cross multiply
    75,464,009.80x = 113,196,014.70 × 75,464,009.80
  4. Step 4: Simplify right side
    75,464,009.80x = 8,542,225,162,641,744
  5. Step 5: Solve for x
    x = 8,542,225,162,641,744/75,464,009.80
  6. Step 6: Final answer
    x = 113,196,014.70

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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.