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Finding the Fourth Proportional to 186,789,904.20, 280,184,856.30 and 186,789,904.20

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Solution

The fourth proportional to 186,789,904.20, 280,184,856.30 and 186,789,904.20 is: 280,184,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,789,904.20 : 280,184,856.30 = 186,789,904.20 : x
  2. Step 2: Convert to fraction form
    186,789,904.20/280,184,856.30 = 186,789,904.20/x
  3. Step 3: Cross multiply
    186,789,904.20x = 280,184,856.30 × 186,789,904.20
  4. Step 4: Simplify right side
    186,789,904.20x = 52,335,702,466,567,768
  5. Step 5: Solve for x
    x = 52,335,702,466,567,768/186,789,904.20
  6. Step 6: Final answer
    x = 280,184,856.30

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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.