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Finding the Fourth Proportional to 712,476,206.70, 1,067,013,698.78 and 712,476,206.70

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Solution

The fourth proportional to 712,476,206.70, 1,067,013,698.78 and 712,476,206.70 is: 1,067,013,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,476,206.70 : 1,067,013,698.78 = 712,476,206.70 : x
  2. Step 2: Convert to fraction form
    712,476,206.70/1,067,013,698.78 = 712,476,206.70/x
  3. Step 3: Cross multiply
    712,476,206.70x = 1,067,013,698.78 × 712,476,206.70
  4. Step 4: Simplify right side
    712,476,206.70x = 760,221,872,600,148,480
  5. Step 5: Solve for x
    x = 760,221,872,600,148,480/712,476,206.70
  6. Step 6: Final answer
    x = 1,067,013,698.78

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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.