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Finding the Fourth Proportional to 221,298,758.20, 310,271,757.80 and 221,298,758.20

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Solution

The fourth proportional to 221,298,758.20, 310,271,757.80 and 221,298,758.20 is: 310,271,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,298,758.20 : 310,271,757.80 = 221,298,758.20 : x
  2. Step 2: Convert to fraction form
    221,298,758.20/310,271,757.80 = 221,298,758.20/x
  3. Step 3: Cross multiply
    221,298,758.20x = 310,271,757.80 × 221,298,758.20
  4. Step 4: Simplify right side
    221,298,758.20x = 68,662,754,705,671,160
  5. Step 5: Solve for x
    x = 68,662,754,705,671,160/221,298,758.20
  6. Step 6: Final answer
    x = 310,271,757.80

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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.