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Finding the Fourth Proportional to 185,688,276.30, 278,532,414.45 and 185,688,276.30

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Solution

The fourth proportional to 185,688,276.30, 278,532,414.45 and 185,688,276.30 is: 278,532,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,688,276.30 : 278,532,414.45 = 185,688,276.30 : x
  2. Step 2: Convert to fraction form
    185,688,276.30/278,532,414.45 = 185,688,276.30/x
  3. Step 3: Cross multiply
    185,688,276.30x = 278,532,414.45 × 185,688,276.30
  4. Step 4: Simplify right side
    185,688,276.30x = 51,720,203,932,897,712
  5. Step 5: Solve for x
    x = 51,720,203,932,897,712/185,688,276.30
  6. Step 6: Final answer
    x = 278,532,414.45

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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.