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Finding the Fourth Proportional to 71,287,242,750.37, 106,930,864,125.54 and 71,287,242,750.37

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Solution

The fourth proportional to 71,287,242,750.37, 106,930,864,125.54 and 71,287,242,750.37 is: 106,930,864,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,287,242,750.37 : 106,930,864,125.54 = 71,287,242,750.37 : x
  2. Step 2: Convert to fraction form
    71,287,242,750.37/106,930,864,125.54 = 71,287,242,750.37/x
  3. Step 3: Cross multiply
    71,287,242,750.37x = 106,930,864,125.54 × 71,287,242,750.37
  4. Step 4: Simplify right side
    71,287,242,750.37x = 7,622,806,468,423,666,630,656
  5. Step 5: Solve for x
    x = 7,622,806,468,423,666,630,656/71,287,242,750.37
  6. Step 6: Final answer
    x = 106,930,864,125.54

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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.