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Finding the Fourth Proportional to 11,666,727.90, 16,295,627.70 and 11,666,727.90

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Solution

The fourth proportional to 11,666,727.90, 16,295,627.70 and 11,666,727.90 is: 16,295,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666,727.90 : 16,295,627.70 = 11,666,727.90 : x
  2. Step 2: Convert to fraction form
    11,666,727.90/16,295,627.70 = 11,666,727.90/x
  3. Step 3: Cross multiply
    11,666,727.90x = 16,295,627.70 × 11,666,727.90
  4. Step 4: Simplify right side
    11,666,727.90x = 190,116,654,335,602.81
  5. Step 5: Solve for x
    x = 190,116,654,335,602.81/11,666,727.90
  6. Step 6: Final answer
    x = 16,295,627.70

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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.