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Finding the Fourth Proportional to 114,514,165.60, 159,979,709.60 and 114,514,165.60

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Solution

The fourth proportional to 114,514,165.60, 159,979,709.60 and 114,514,165.60 is: 159,979,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514,165.60 : 159,979,709.60 = 114,514,165.60 : x
  2. Step 2: Convert to fraction form
    114,514,165.60/159,979,709.60 = 114,514,165.60/x
  3. Step 3: Cross multiply
    114,514,165.60x = 159,979,709.60 × 114,514,165.60
  4. Step 4: Simplify right side
    114,514,165.60x = 18,319,942,957,774,308
  5. Step 5: Solve for x
    x = 18,319,942,957,774,308/114,514,165.60
  6. Step 6: Final answer
    x = 159,979,709.60

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Why These Related Problems?

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