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Finding the Fourth Proportional to 120,960,621,123.20, 168,953,048,752 and 120,960,621,123.20

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Solution

The fourth proportional to 120,960,621,123.20, 168,953,048,752 and 120,960,621,123.20 is: 168,953,048,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,960,621,123.20 : 168,953,048,752 = 120,960,621,123.20 : x
  2. Step 2: Convert to fraction form
    120,960,621,123.20/168,953,048,752 = 120,960,621,123.20/x
  3. Step 3: Cross multiply
    120,960,621,123.20x = 168,953,048,752 × 120,960,621,123.20
  4. Step 4: Simplify right side
    120,960,621,123.20x = 20,436,665,717,700,209,672,192
  5. Step 5: Solve for x
    x = 20,436,665,717,700,209,672,192/120,960,621,123.20
  6. Step 6: Final answer
    x = 168,953,048,752

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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.