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Finding the Fourth Proportional to 9,159,168,043.80, 13,738,752,065.70 and 9,159,168,043.80

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Solution

The fourth proportional to 9,159,168,043.80, 13,738,752,065.70 and 9,159,168,043.80 is: 13,738,752,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159,168,043.80 : 13,738,752,065.70 = 9,159,168,043.80 : x
  2. Step 2: Convert to fraction form
    9,159,168,043.80/13,738,752,065.70 = 9,159,168,043.80/x
  3. Step 3: Cross multiply
    9,159,168,043.80x = 13,738,752,065.70 × 9,159,168,043.80
  4. Step 4: Simplify right side
    9,159,168,043.80x = 125,835,538,881,850,671,104
  5. Step 5: Solve for x
    x = 125,835,538,881,850,671,104/9,159,168,043.80
  6. Step 6: Final answer
    x = 13,738,752,065.70

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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.