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Finding the Fourth Proportional to 7,825,793.10, 10,963,575.30 and 7,825,793.10

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Solution

The fourth proportional to 7,825,793.10, 10,963,575.30 and 7,825,793.10 is: 10,963,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825,793.10 : 10,963,575.30 = 7,825,793.10 : x
  2. Step 2: Convert to fraction form
    7,825,793.10/10,963,575.30 = 7,825,793.10/x
  3. Step 3: Cross multiply
    7,825,793.10x = 10,963,575.30 × 7,825,793.10
  4. Step 4: Simplify right side
    7,825,793.10x = 85,798,671,934,070.44
  5. Step 5: Solve for x
    x = 85,798,671,934,070.44/7,825,793.10
  6. Step 6: Final answer
    x = 10,963,575.30

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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.