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Finding the Fourth Proportional to 51,205,406.70, 76,808,110.05 and 51,205,406.70

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Solution

The fourth proportional to 51,205,406.70, 76,808,110.05 and 51,205,406.70 is: 76,808,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205,406.70 : 76,808,110.05 = 51,205,406.70 : x
  2. Step 2: Convert to fraction form
    51,205,406.70/76,808,110.05 = 51,205,406.70/x
  3. Step 3: Cross multiply
    51,205,406.70x = 76,808,110.05 × 51,205,406.70
  4. Step 4: Simplify right side
    51,205,406.70x = 3,932,990,512,968,607.50
  5. Step 5: Solve for x
    x = 3,932,990,512,968,607.50/51,205,406.70
  6. Step 6: Final answer
    x = 76,808,110.05

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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.