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Finding the Fourth Proportional to 34,013,135.40, 51,019,703.10 and 34,013,135.40

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Solution

The fourth proportional to 34,013,135.40, 51,019,703.10 and 34,013,135.40 is: 51,019,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013,135.40 : 51,019,703.10 = 34,013,135.40 : x
  2. Step 2: Convert to fraction form
    34,013,135.40/51,019,703.10 = 34,013,135.40/x
  3. Step 3: Cross multiply
    34,013,135.40x = 51,019,703.10 × 34,013,135.40
  4. Step 4: Simplify right side
    34,013,135.40x = 1,735,340,069,608,099.75
  5. Step 5: Solve for x
    x = 1,735,340,069,608,099.75/34,013,135.40
  6. Step 6: Final answer
    x = 51,019,703.10

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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.