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Finding the Fourth Proportional to 274,697,710.80, 412,046,566.20 and 102,138,818.10

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Solution

The fourth proportional to 274,697,710.80, 412,046,566.20 and 102,138,818.10 is: 153,208,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,697,710.80 : 412,046,566.20 = 102,138,818.10 : x
  2. Step 2: Convert to fraction form
    274,697,710.80/412,046,566.20 = 102,138,818.10/x
  3. Step 3: Cross multiply
    274,697,710.80x = 412,046,566.20 × 102,138,818.10
  4. Step 4: Simplify right side
    274,697,710.80x = 42,085,949,273,831,408
  5. Step 5: Solve for x
    x = 42,085,949,273,831,408/274,697,710.80
  6. Step 6: Final answer
    x = 153,208,227.15

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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.