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Finding the Fourth Proportional to 223,111,536,000.40, 334,667,304,000.60 and 223,111,536,000.40

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Solution

The fourth proportional to 223,111,536,000.40, 334,667,304,000.60 and 223,111,536,000.40 is: 334,667,304,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,111,536,000.40 : 334,667,304,000.60 = 223,111,536,000.40 : x
  2. Step 2: Convert to fraction form
    223,111,536,000.40/334,667,304,000.60 = 223,111,536,000.40/x
  3. Step 3: Cross multiply
    223,111,536,000.40x = 334,667,304,000.60 × 223,111,536,000.40
  4. Step 4: Simplify right side
    223,111,536,000.40x = 74,668,136,244,686,666,858,496
  5. Step 5: Solve for x
    x = 74,668,136,244,686,666,858,496/223,111,536,000.40
  6. Step 6: Final answer
    x = 334,667,304,000.60

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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.