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Finding the Fourth Proportional to 817,887,699,015.90, 1,226,831,548,523.90 and 817,887,699,015.90

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Solution

The fourth proportional to 817,887,699,015.90, 1,226,831,548,523.90 and 817,887,699,015.90 is: 1,226,831,548,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,887,699,015.90 : 1,226,831,548,523.90 = 817,887,699,015.90 : x
  2. Step 2: Convert to fraction form
    817,887,699,015.90/1,226,831,548,523.90 = 817,887,699,015.90/x
  3. Step 3: Cross multiply
    817,887,699,015.90x = 1,226,831,548,523.90 × 817,887,699,015.90
  4. Step 4: Simplify right side
    817,887,699,015.90x = 1,003,410,432,302,325,935,636,480
  5. Step 5: Solve for x
    x = 1,003,410,432,302,325,935,636,480/817,887,699,015.90
  6. Step 6: Final answer
    x = 1,226,831,548,523.90

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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.