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Finding the Fourth Proportional to 213,537,271.80, 320,305,907.70 and 213,537,271.80

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Solution

The fourth proportional to 213,537,271.80, 320,305,907.70 and 213,537,271.80 is: 320,305,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,537,271.80 : 320,305,907.70 = 213,537,271.80 : x
  2. Step 2: Convert to fraction form
    213,537,271.80/320,305,907.70 = 213,537,271.80/x
  3. Step 3: Cross multiply
    213,537,271.80x = 320,305,907.70 × 213,537,271.80
  4. Step 4: Simplify right side
    213,537,271.80x = 68,397,249,671,680,616
  5. Step 5: Solve for x
    x = 68,397,249,671,680,616/213,537,271.80
  6. Step 6: Final answer
    x = 320,305,907.70

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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.