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Finding the Fourth Proportional to 12,101,998.05, 16,985,312.55 and 12,101,998.05

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Solution

The fourth proportional to 12,101,998.05, 16,985,312.55 and 12,101,998.05 is: 16,985,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101,998.05 : 16,985,312.55 = 12,101,998.05 : x
  2. Step 2: Convert to fraction form
    12,101,998.05/16,985,312.55 = 12,101,998.05/x
  3. Step 3: Cross multiply
    12,101,998.05x = 16,985,312.55 × 12,101,998.05
  4. Step 4: Simplify right side
    12,101,998.05x = 205,556,219,358,740.56
  5. Step 5: Solve for x
    x = 205,556,219,358,740.56/12,101,998.05
  6. Step 6: Final answer
    x = 16,985,312.55

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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.