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Finding the Fourth Proportional to 16,302,009,097.90, 24,453,013,646.85 and 16,302,009,097.90

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Solution

The fourth proportional to 16,302,009,097.90, 24,453,013,646.85 and 16,302,009,097.90 is: 24,453,013,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302,009,097.90 : 24,453,013,646.85 = 16,302,009,097.90 : x
  2. Step 2: Convert to fraction form
    16,302,009,097.90/24,453,013,646.85 = 16,302,009,097.90/x
  3. Step 3: Cross multiply
    16,302,009,097.90x = 24,453,013,646.85 × 16,302,009,097.90
  4. Step 4: Simplify right side
    16,302,009,097.90x = 398,633,250,942,021,533,696
  5. Step 5: Solve for x
    x = 398,633,250,942,021,533,696/16,302,009,097.90
  6. Step 6: Final answer
    x = 24,453,013,646.85

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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.