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Finding the Fourth Proportional to 133,525,271.60, 200,287,907.40 and 133,525,271.60

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Solution

The fourth proportional to 133,525,271.60, 200,287,907.40 and 133,525,271.60 is: 200,287,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,525,271.60 : 200,287,907.40 = 133,525,271.60 : x
  2. Step 2: Convert to fraction form
    133,525,271.60/200,287,907.40 = 133,525,271.60/x
  3. Step 3: Cross multiply
    133,525,271.60x = 200,287,907.40 × 133,525,271.60
  4. Step 4: Simplify right side
    133,525,271.60x = 26,743,497,233,780,648
  5. Step 5: Solve for x
    x = 26,743,497,233,780,648/133,525,271.60
  6. Step 6: Final answer
    x = 200,287,907.40

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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.