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Finding the Fourth Proportional to 86,202,384.30, 120,985,668.90 and 86,202,384.30

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Solution

The fourth proportional to 86,202,384.30, 120,985,668.90 and 86,202,384.30 is: 120,985,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202,384.30 : 120,985,668.90 = 86,202,384.30 : x
  2. Step 2: Convert to fraction form
    86,202,384.30/120,985,668.90 = 86,202,384.30/x
  3. Step 3: Cross multiply
    86,202,384.30x = 120,985,668.90 × 86,202,384.30
  4. Step 4: Simplify right side
    86,202,384.30x = 10,429,253,125,310,358
  5. Step 5: Solve for x
    x = 10,429,253,125,310,358/86,202,384.30
  6. Step 6: Final answer
    x = 120,985,668.90

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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.