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Finding the Fourth Proportional to 275,835,608,947.35, 413,753,413,421.02 and 275,835,608,947.35

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Solution

The fourth proportional to 275,835,608,947.35, 413,753,413,421.02 and 275,835,608,947.35 is: 413,753,413,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,835,608,947.35 : 413,753,413,421.02 = 275,835,608,947.35 : x
  2. Step 2: Convert to fraction form
    275,835,608,947.35/413,753,413,421.02 = 275,835,608,947.35/x
  3. Step 3: Cross multiply
    275,835,608,947.35x = 413,753,413,421.02 × 275,835,608,947.35
  4. Step 4: Simplify right side
    275,835,608,947.35x = 114,127,924,745,031,697,563,648
  5. Step 5: Solve for x
    x = 114,127,924,745,031,697,563,648/275,835,608,947.35
  6. Step 6: Final answer
    x = 413,753,413,421.02

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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.