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Finding the Fourth Proportional to 298,016,030,719.20, 447,024,046,078.80 and 298,016,030,719.20

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Solution

The fourth proportional to 298,016,030,719.20, 447,024,046,078.80 and 298,016,030,719.20 is: 447,024,046,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,016,030,719.20 : 447,024,046,078.80 = 298,016,030,719.20 : x
  2. Step 2: Convert to fraction form
    298,016,030,719.20/447,024,046,078.80 = 298,016,030,719.20/x
  3. Step 3: Cross multiply
    298,016,030,719.20x = 447,024,046,078.80 × 298,016,030,719.20
  4. Step 4: Simplify right side
    298,016,030,719.20x = 133,220,331,848,440,746,082,304
  5. Step 5: Solve for x
    x = 133,220,331,848,440,746,082,304/298,016,030,719.20
  6. Step 6: Final answer
    x = 447,024,046,078.80

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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.