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Finding the Fourth Proportional to 90,797,868,209.70, 136,196,802,314.55 and 90,797,868,209.70

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Solution

The fourth proportional to 90,797,868,209.70, 136,196,802,314.55 and 90,797,868,209.70 is: 136,196,802,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,797,868,209.70 : 136,196,802,314.55 = 90,797,868,209.70 : x
  2. Step 2: Convert to fraction form
    90,797,868,209.70/136,196,802,314.55 = 90,797,868,209.70/x
  3. Step 3: Cross multiply
    90,797,868,209.70x = 136,196,802,314.55 × 90,797,868,209.70
  4. Step 4: Simplify right side
    90,797,868,209.70x = 12,366,379,307,139,074,097,152
  5. Step 5: Solve for x
    x = 12,366,379,307,139,074,097,152/90,797,868,209.70
  6. Step 6: Final answer
    x = 136,196,802,314.55

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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.