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Finding the Fourth Proportional to 160,193,305.10, 224,780,810.50 and 160,193,305.10

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Solution

The fourth proportional to 160,193,305.10, 224,780,810.50 and 160,193,305.10 is: 224,780,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,193,305.10 : 224,780,810.50 = 160,193,305.10 : x
  2. Step 2: Convert to fraction form
    160,193,305.10/224,780,810.50 = 160,193,305.10/x
  3. Step 3: Cross multiply
    160,193,305.10x = 224,780,810.50 × 160,193,305.10
  4. Step 4: Simplify right side
    160,193,305.10x = 36,008,380,957,051,784
  5. Step 5: Solve for x
    x = 36,008,380,957,051,784/160,193,305.10
  6. Step 6: Final answer
    x = 224,780,810.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.