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Finding the Fourth Proportional to 191,179,558,429.60, 286,769,337,644.40 and 191,179,558,429.60

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Solution

The fourth proportional to 191,179,558,429.60, 286,769,337,644.40 and 191,179,558,429.60 is: 286,769,337,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,179,558,429.60 : 286,769,337,644.40 = 191,179,558,429.60 : x
  2. Step 2: Convert to fraction form
    191,179,558,429.60/286,769,337,644.40 = 191,179,558,429.60/x
  3. Step 3: Cross multiply
    191,179,558,429.60x = 286,769,337,644.40 × 191,179,558,429.60
  4. Step 4: Simplify right side
    191,179,558,429.60x = 54,824,435,342,005,269,168,128
  5. Step 5: Solve for x
    x = 54,824,435,342,005,269,168,128/191,179,558,429.60
  6. Step 6: Final answer
    x = 286,769,337,644.40

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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.