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Finding the Fourth Proportional to 120,145,129.20, 168,585,818.40 and 120,145,129.20

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Solution

The fourth proportional to 120,145,129.20, 168,585,818.40 and 120,145,129.20 is: 168,585,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145,129.20 : 168,585,818.40 = 120,145,129.20 : x
  2. Step 2: Convert to fraction form
    120,145,129.20/168,585,818.40 = 120,145,129.20/x
  3. Step 3: Cross multiply
    120,145,129.20x = 168,585,818.40 × 120,145,129.20
  4. Step 4: Simplify right side
    120,145,129.20x = 20,254,764,932,955,740
  5. Step 5: Solve for x
    x = 20,254,764,932,955,740/120,145,129.20
  6. Step 6: Final answer
    x = 168,585,818.40

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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.