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Finding the Fourth Proportional to 184,410,836,411.10, 276,616,254,616.65 and 184,410,836,411.10

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Solution

The fourth proportional to 184,410,836,411.10, 276,616,254,616.65 and 184,410,836,411.10 is: 276,616,254,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410,836,411.10 : 276,616,254,616.65 = 184,410,836,411.10 : x
  2. Step 2: Convert to fraction form
    184,410,836,411.10/276,616,254,616.65 = 184,410,836,411.10/x
  3. Step 3: Cross multiply
    184,410,836,411.10x = 276,616,254,616.65 × 184,410,836,411.10
  4. Step 4: Simplify right side
    184,410,836,411.10x = 51,011,034,878,762,236,772,352
  5. Step 5: Solve for x
    x = 51,011,034,878,762,236,772,352/184,410,836,411.10
  6. Step 6: Final answer
    x = 276,616,254,616.65

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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.