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Finding the Fourth Proportional to 9,419,348,530.60, 14,098,411,794.30 and 9,419,348,530.60

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Solution

The fourth proportional to 9,419,348,530.60, 14,098,411,794.30 and 9,419,348,530.60 is: 14,098,411,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,348,530.60 : 14,098,411,794.30 = 9,419,348,530.60 : x
  2. Step 2: Convert to fraction form
    9,419,348,530.60/14,098,411,794.30 = 9,419,348,530.60/x
  3. Step 3: Cross multiply
    9,419,348,530.60x = 14,098,411,794.30 × 9,419,348,530.60
  4. Step 4: Simplify right side
    9,419,348,530.60x = 132,797,854,418,433,409,024
  5. Step 5: Solve for x
    x = 132,797,854,418,433,409,024/9,419,348,530.60
  6. Step 6: Final answer
    x = 14,098,411,794.30

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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.