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Finding the Fourth Proportional to 14,009,016,972.30, 21,013,525,458.45 and 14,009,016,972.30

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Solution

The fourth proportional to 14,009,016,972.30, 21,013,525,458.45 and 14,009,016,972.30 is: 21,013,525,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009,016,972.30 : 21,013,525,458.45 = 14,009,016,972.30 : x
  2. Step 2: Convert to fraction form
    14,009,016,972.30/21,013,525,458.45 = 14,009,016,972.30/x
  3. Step 3: Cross multiply
    14,009,016,972.30x = 21,013,525,458.45 × 14,009,016,972.30
  4. Step 4: Simplify right side
    14,009,016,972.30x = 294,378,834,795,284,168,704
  5. Step 5: Solve for x
    x = 294,378,834,795,284,168,704/14,009,016,972.30
  6. Step 6: Final answer
    x = 21,013,525,458.45

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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.