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Finding the Fourth Proportional to 106,435,235.60, 159,652,853.40 and 106,435,235.60

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Solution

The fourth proportional to 106,435,235.60, 159,652,853.40 and 106,435,235.60 is: 159,652,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,435,235.60 : 159,652,853.40 = 106,435,235.60 : x
  2. Step 2: Convert to fraction form
    106,435,235.60/159,652,853.40 = 106,435,235.60/x
  3. Step 3: Cross multiply
    106,435,235.60x = 159,652,853.40 × 106,435,235.60
  4. Step 4: Simplify right side
    106,435,235.60x = 16,992,689,065,841,260
  5. Step 5: Solve for x
    x = 16,992,689,065,841,260/106,435,235.60
  6. Step 6: Final answer
    x = 159,652,853.40

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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.