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Finding the Fourth Proportional to 189,551,969.40, 266,138,032.20 and 189,551,969.40

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Solution

The fourth proportional to 189,551,969.40, 266,138,032.20 and 189,551,969.40 is: 266,138,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,551,969.40 : 266,138,032.20 = 189,551,969.40 : x
  2. Step 2: Convert to fraction form
    189,551,969.40/266,138,032.20 = 189,551,969.40/x
  3. Step 3: Cross multiply
    189,551,969.40x = 266,138,032.20 × 189,551,969.40
  4. Step 4: Simplify right side
    189,551,969.40x = 50,446,988,135,750,616
  5. Step 5: Solve for x
    x = 50,446,988,135,750,616/189,551,969.40
  6. Step 6: Final answer
    x = 266,138,032.20

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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.