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Finding the Fourth Proportional to 223,757,316,013.60, 335,635,974,020.40 and 223,757,316,013.60

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Solution

The fourth proportional to 223,757,316,013.60, 335,635,974,020.40 and 223,757,316,013.60 is: 335,635,974,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,757,316,013.60 : 335,635,974,020.40 = 223,757,316,013.60 : x
  2. Step 2: Convert to fraction form
    223,757,316,013.60/335,635,974,020.40 = 223,757,316,013.60/x
  3. Step 3: Cross multiply
    223,757,316,013.60x = 335,635,974,020.40 × 223,757,316,013.60
  4. Step 4: Simplify right side
    223,757,316,013.60x = 75,101,004,704,415,087,591,424
  5. Step 5: Solve for x
    x = 75,101,004,704,415,087,591,424/223,757,316,013.60
  6. Step 6: Final answer
    x = 335,635,974,020.40

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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.