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Finding the Fourth Proportional to 467,222,405.10, 700,833,607.65 and 467,222,405.10

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Solution

The fourth proportional to 467,222,405.10, 700,833,607.65 and 467,222,405.10 is: 700,833,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,222,405.10 : 700,833,607.65 = 467,222,405.10 : x
  2. Step 2: Convert to fraction form
    467,222,405.10/700,833,607.65 = 467,222,405.10/x
  3. Step 3: Cross multiply
    467,222,405.10x = 700,833,607.65 × 467,222,405.10
  4. Step 4: Simplify right side
    467,222,405.10x = 327,445,163,741,142,784
  5. Step 5: Solve for x
    x = 327,445,163,741,142,784/467,222,405.10
  6. Step 6: Final answer
    x = 700,833,607.65

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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.