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Finding the Fourth Proportional to 9,132,912,097.80, 13,699,368,146.70 and 9,132,912,097.80

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Solution

The fourth proportional to 9,132,912,097.80, 13,699,368,146.70 and 9,132,912,097.80 is: 13,699,368,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132,912,097.80 : 13,699,368,146.70 = 9,132,912,097.80 : x
  2. Step 2: Convert to fraction form
    9,132,912,097.80/13,699,368,146.70 = 9,132,912,097.80/x
  3. Step 3: Cross multiply
    9,132,912,097.80x = 13,699,368,146.70 × 9,132,912,097.80
  4. Step 4: Simplify right side
    9,132,912,097.80x = 125,115,125,079,212,392,448
  5. Step 5: Solve for x
    x = 125,115,125,079,212,392,448/9,132,912,097.80
  6. Step 6: Final answer
    x = 13,699,368,146.70

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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.