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Finding the Fourth Proportional to 19,852,847.10, 27,831,777.30 and 19,852,847.10

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Solution

The fourth proportional to 19,852,847.10, 27,831,777.30 and 19,852,847.10 is: 27,831,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852,847.10 : 27,831,777.30 = 19,852,847.10 : x
  2. Step 2: Convert to fraction form
    19,852,847.10/27,831,777.30 = 19,852,847.10/x
  3. Step 3: Cross multiply
    19,852,847.10x = 27,831,777.30 × 19,852,847.10
  4. Step 4: Simplify right side
    19,852,847.10x = 552,540,019,258,150.88
  5. Step 5: Solve for x
    x = 552,540,019,258,150.88/19,852,847.10
  6. Step 6: Final answer
    x = 27,831,777.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.