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Finding the Fourth Proportional to 7,842,109,499.40, 11,006,503,200.60 and 7,842,109,499.40

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Solution

The fourth proportional to 7,842,109,499.40, 11,006,503,200.60 and 7,842,109,499.40 is: 11,006,503,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842,109,499.40 : 11,006,503,200.60 = 7,842,109,499.40 : x
  2. Step 2: Convert to fraction form
    7,842,109,499.40/11,006,503,200.60 = 7,842,109,499.40/x
  3. Step 3: Cross multiply
    7,842,109,499.40x = 11,006,503,200.60 × 7,842,109,499.40
  4. Step 4: Simplify right side
    7,842,109,499.40x = 86,314,203,304,601,763,840
  5. Step 5: Solve for x
    x = 86,314,203,304,601,763,840/7,842,109,499.40
  6. Step 6: Final answer
    x = 11,006,503,200.60

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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.