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Finding the Fourth Proportional to 9,964,562.10, 14,923,223.55 and 9,964,562.10

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Solution

The fourth proportional to 9,964,562.10, 14,923,223.55 and 9,964,562.10 is: 14,923,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964,562.10 : 14,923,223.55 = 9,964,562.10 : x
  2. Step 2: Convert to fraction form
    9,964,562.10/14,923,223.55 = 9,964,562.10/x
  3. Step 3: Cross multiply
    9,964,562.10x = 14,923,223.55 × 9,964,562.10
  4. Step 4: Simplify right side
    9,964,562.10x = 148,703,387,796,157.47
  5. Step 5: Solve for x
    x = 148,703,387,796,157.47/9,964,562.10
  6. Step 6: Final answer
    x = 14,923,223.55

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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.