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Finding the Fourth Proportional to 161,468,139.40, 242,202,209.10 and 161,468,139.40

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Solution

The fourth proportional to 161,468,139.40, 242,202,209.10 and 161,468,139.40 is: 242,202,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,468,139.40 : 242,202,209.10 = 161,468,139.40 : x
  2. Step 2: Convert to fraction form
    161,468,139.40/242,202,209.10 = 161,468,139.40/x
  3. Step 3: Cross multiply
    161,468,139.40x = 242,202,209.10 × 161,468,139.40
  4. Step 4: Simplify right side
    161,468,139.40x = 39,107,940,061,946,752
  5. Step 5: Solve for x
    x = 39,107,940,061,946,752/161,468,139.40
  6. Step 6: Final answer
    x = 242,202,209.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.