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Finding the Fourth Proportional to 223,465,698,751.40, 335,198,548,127.10 and 223,465,698,751.40

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Solution

The fourth proportional to 223,465,698,751.40, 335,198,548,127.10 and 223,465,698,751.40 is: 335,198,548,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,465,698,751.40 : 335,198,548,127.10 = 223,465,698,751.40 : x
  2. Step 2: Convert to fraction form
    223,465,698,751.40/335,198,548,127.10 = 223,465,698,751.40/x
  3. Step 3: Cross multiply
    223,465,698,751.40x = 335,198,548,127.10 × 223,465,698,751.40
  4. Step 4: Simplify right side
    223,465,698,751.40x = 74,905,377,777,677,177,454,592
  5. Step 5: Solve for x
    x = 74,905,377,777,677,177,454,592/223,465,698,751.40
  6. Step 6: Final answer
    x = 335,198,548,127.10

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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.