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Finding the Fourth Proportional to 71,048,046.40, 106,572,069.60 and 71,048,046.40

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Solution

The fourth proportional to 71,048,046.40, 106,572,069.60 and 71,048,046.40 is: 106,572,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048,046.40 : 106,572,069.60 = 71,048,046.40 : x
  2. Step 2: Convert to fraction form
    71,048,046.40/106,572,069.60 = 71,048,046.40/x
  3. Step 3: Cross multiply
    71,048,046.40x = 106,572,069.60 × 71,048,046.40
  4. Step 4: Simplify right side
    71,048,046.40x = 7,571,737,345,884,830
  5. Step 5: Solve for x
    x = 7,571,737,345,884,830/71,048,046.40
  6. Step 6: Final answer
    x = 106,572,069.60

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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.