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Finding the Fourth Proportional to 817,887,700,216.10, 1,226,831,550,324.10 and 817,887,700,216.10

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Solution

The fourth proportional to 817,887,700,216.10, 1,226,831,550,324.10 and 817,887,700,216.10 is: 1,226,831,550,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,887,700,216.10 : 1,226,831,550,324.10 = 817,887,700,216.10 : x
  2. Step 2: Convert to fraction form
    817,887,700,216.10/1,226,831,550,324.10 = 817,887,700,216.10/x
  3. Step 3: Cross multiply
    817,887,700,216.10x = 1,226,831,550,324.10 × 817,887,700,216.10
  4. Step 4: Simplify right side
    817,887,700,216.10x = 1,003,410,435,247,130,802,126,848
  5. Step 5: Solve for x
    x = 1,003,410,435,247,130,802,126,848/817,887,700,216.10
  6. Step 6: Final answer
    x = 1,226,831,550,324.10

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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.