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Finding the Fourth Proportional to 365,719,982,002.40, 548,579,973,003.60 and 365,719,982,002.40

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Solution

The fourth proportional to 365,719,982,002.40, 548,579,973,003.60 and 365,719,982,002.40 is: 548,579,973,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,719,982,002.40 : 548,579,973,003.60 = 365,719,982,002.40 : x
  2. Step 2: Convert to fraction form
    365,719,982,002.40/548,579,973,003.60 = 365,719,982,002.40/x
  3. Step 3: Cross multiply
    365,719,982,002.40x = 548,579,973,003.60 × 365,719,982,002.40
  4. Step 4: Simplify right side
    365,719,982,002.40x = 200,626,657,853,753,683,607,552
  5. Step 5: Solve for x
    x = 200,626,657,853,753,683,607,552/365,719,982,002.40
  6. Step 6: Final answer
    x = 548,579,973,003.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.