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Finding the Fourth Proportional to 275,648,511.40, 386,194,894.10 and 275,648,511.40

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Solution

The fourth proportional to 275,648,511.40, 386,194,894.10 and 275,648,511.40 is: 386,194,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,648,511.40 : 386,194,894.10 = 275,648,511.40 : x
  2. Step 2: Convert to fraction form
    275,648,511.40/386,194,894.10 = 275,648,511.40/x
  3. Step 3: Cross multiply
    275,648,511.40x = 386,194,894.10 × 275,648,511.40
  4. Step 4: Simplify right side
    275,648,511.40x = 106,454,047,668,945,648
  5. Step 5: Solve for x
    x = 106,454,047,668,945,648/275,648,511.40
  6. Step 6: Final answer
    x = 386,194,894.10

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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.