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Finding the Fourth Proportional to 567,504,901.10, 851,257,351.65 and 567,504,901.10

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Solution

The fourth proportional to 567,504,901.10, 851,257,351.65 and 567,504,901.10 is: 851,257,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,504,901.10 : 851,257,351.65 = 567,504,901.10 : x
  2. Step 2: Convert to fraction form
    567,504,901.10/851,257,351.65 = 567,504,901.10/x
  3. Step 3: Cross multiply
    567,504,901.10x = 851,257,351.65 × 567,504,901.10
  4. Step 4: Simplify right side
    567,504,901.10x = 483,092,719,158,781,184
  5. Step 5: Solve for x
    x = 483,092,719,158,781,184/567,504,901.10
  6. Step 6: Final answer
    x = 851,257,351.65

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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.