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Finding the Fourth Proportional to 652,640,011.40, 978,960,017.10 and 221,818,507.40

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Solution

The fourth proportional to 652,640,011.40, 978,960,017.10 and 221,818,507.40 is: 332,727,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,640,011.40 : 978,960,017.10 = 221,818,507.40 : x
  2. Step 2: Convert to fraction form
    652,640,011.40/978,960,017.10 = 221,818,507.40/x
  3. Step 3: Cross multiply
    652,640,011.40x = 978,960,017.10 × 221,818,507.40
  4. Step 4: Simplify right side
    652,640,011.40x = 217,151,449,797,400,480
  5. Step 5: Solve for x
    x = 217,151,449,797,400,480/652,640,011.40
  6. Step 6: Final answer
    x = 332,727,761.10

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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.