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Finding the Fourth Proportional to 873,664,628.16, 1,310,680,993.76 and 283,408,779.21

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Solution

The fourth proportional to 873,664,628.16, 1,310,680,993.76 and 283,408,779.21 is: 425,172,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,664,628.16 : 1,310,680,993.76 = 283,408,779.21 : x
  2. Step 2: Convert to fraction form
    873,664,628.16/1,310,680,993.76 = 283,408,779.21/x
  3. Step 3: Cross multiply
    873,664,628.16x = 1,310,680,993.76 × 283,408,779.21
  4. Step 4: Simplify right side
    873,664,628.16x = 371,458,500,375,518,784
  5. Step 5: Solve for x
    x = 371,458,500,375,518,784/873,664,628.16
  6. Step 6: Final answer
    x = 425,172,873.44

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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.