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Finding the Fourth Proportional to 283,229,043.20, 424,087,737.60 and 283,229,043.20

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Solution

The fourth proportional to 283,229,043.20, 424,087,737.60 and 283,229,043.20 is: 424,087,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,229,043.20 : 424,087,737.60 = 283,229,043.20 : x
  2. Step 2: Convert to fraction form
    283,229,043.20/424,087,737.60 = 283,229,043.20/x
  3. Step 3: Cross multiply
    283,229,043.20x = 424,087,737.60 × 283,229,043.20
  4. Step 4: Simplify right side
    283,229,043.20x = 120,113,964,153,300,672
  5. Step 5: Solve for x
    x = 120,113,964,153,300,672/283,229,043.20
  6. Step 6: Final answer
    x = 424,087,737.60

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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.