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Finding the Fourth Proportional to 106,930,864,037.20, 160,396,296,055.80 and 106,930,864,037.20

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Solution

The fourth proportional to 106,930,864,037.20, 160,396,296,055.80 and 106,930,864,037.20 is: 160,396,296,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930,864,037.20 : 160,396,296,055.80 = 106,930,864,037.20 : x
  2. Step 2: Convert to fraction form
    106,930,864,037.20/160,396,296,055.80 = 106,930,864,037.20/x
  3. Step 3: Cross multiply
    106,930,864,037.20x = 160,396,296,055.80 × 106,930,864,037.20
  4. Step 4: Simplify right side
    106,930,864,037.20x = 17,151,314,525,613,226,721,280
  5. Step 5: Solve for x
    x = 17,151,314,525,613,226,721,280/106,930,864,037.20
  6. Step 6: Final answer
    x = 160,396,296,055.80

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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.