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Finding the Fourth Proportional to 51,181,005.60, 76,771,508.40 and 51,181,005.60

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Solution

The fourth proportional to 51,181,005.60, 76,771,508.40 and 51,181,005.60 is: 76,771,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,181,005.60 : 76,771,508.40 = 51,181,005.60 : x
  2. Step 2: Convert to fraction form
    51,181,005.60/76,771,508.40 = 51,181,005.60/x
  3. Step 3: Cross multiply
    51,181,005.60x = 76,771,508.40 × 51,181,005.60
  4. Step 4: Simplify right side
    51,181,005.60x = 3,929,243,001,340,847.50
  5. Step 5: Solve for x
    x = 3,929,243,001,340,847.50/51,181,005.60
  6. Step 6: Final answer
    x = 76,771,508.40

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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.