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Finding the Fourth Proportional to 553,175,237.70, 829,804,846.95 and 164,967,768.90

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Solution

The fourth proportional to 553,175,237.70, 829,804,846.95 and 164,967,768.90 is: 247,464,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,175,237.70 : 829,804,846.95 = 164,967,768.90 : x
  2. Step 2: Convert to fraction form
    553,175,237.70/829,804,846.95 = 164,967,768.90/x
  3. Step 3: Cross multiply
    553,175,237.70x = 829,804,846.95 × 164,967,768.90
  4. Step 4: Simplify right side
    553,175,237.70x = 136,891,054,223,747,488
  5. Step 5: Solve for x
    x = 136,891,054,223,747,488/553,175,237.70
  6. Step 6: Final answer
    x = 247,464,175.72

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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.