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Finding the Fourth Proportional to 9,159,168,072.80, 13,738,752,109.20 and 9,159,168,072.80

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Solution

The fourth proportional to 9,159,168,072.80, 13,738,752,109.20 and 9,159,168,072.80 is: 13,738,752,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159,168,072.80 : 13,738,752,109.20 = 9,159,168,072.80 : x
  2. Step 2: Convert to fraction form
    9,159,168,072.80/13,738,752,109.20 = 9,159,168,072.80/x
  3. Step 3: Cross multiply
    9,159,168,072.80x = 13,738,752,109.20 × 9,159,168,072.80
  4. Step 4: Simplify right side
    9,159,168,072.80x = 125,835,539,678,698,291,200
  5. Step 5: Solve for x
    x = 125,835,539,678,698,291,200/9,159,168,072.80
  6. Step 6: Final answer
    x = 13,738,752,109.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.