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Finding the Fourth Proportional to 298,935,257.60, 448,402,886.40 and 83,524,505.60

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Solution

The fourth proportional to 298,935,257.60, 448,402,886.40 and 83,524,505.60 is: 125,286,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935,257.60 : 448,402,886.40 = 83,524,505.60 : x
  2. Step 2: Convert to fraction form
    298,935,257.60/448,402,886.40 = 83,524,505.60/x
  3. Step 3: Cross multiply
    298,935,257.60x = 448,402,886.40 × 83,524,505.60
  4. Step 4: Simplify right side
    298,935,257.60x = 37,452,629,396,172,960
  5. Step 5: Solve for x
    x = 37,452,629,396,172,960/298,935,257.60
  6. Step 6: Final answer
    x = 125,286,758.40

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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.