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Finding the Fourth Proportional to 11,740,019.30, 16,402,434.70 and 11,740,019.30

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Solution

The fourth proportional to 11,740,019.30, 16,402,434.70 and 11,740,019.30 is: 16,402,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740,019.30 : 16,402,434.70 = 11,740,019.30 : x
  2. Step 2: Convert to fraction form
    11,740,019.30/16,402,434.70 = 11,740,019.30/x
  3. Step 3: Cross multiply
    11,740,019.30x = 16,402,434.70 × 11,740,019.30
  4. Step 4: Simplify right side
    11,740,019.30x = 192,564,899,944,989.72
  5. Step 5: Solve for x
    x = 192,564,899,944,989.72/11,740,019.30
  6. Step 6: Final answer
    x = 16,402,434.70

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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.