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Finding the Fourth Proportional to 6,977,323.70, 10,465,985.55 and 6,977,323.70

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Solution

The fourth proportional to 6,977,323.70, 10,465,985.55 and 6,977,323.70 is: 10,465,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,323.70 : 10,465,985.55 = 6,977,323.70 : x
  2. Step 2: Convert to fraction form
    6,977,323.70/10,465,985.55 = 6,977,323.70/x
  3. Step 3: Cross multiply
    6,977,323.70x = 10,465,985.55 × 6,977,323.70
  4. Step 4: Simplify right side
    6,977,323.70x = 73,024,569,021,872.55
  5. Step 5: Solve for x
    x = 73,024,569,021,872.55/6,977,323.70
  6. Step 6: Final answer
    x = 10,465,985.55

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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.