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Finding the Fourth Proportional to 148,965,697,209.40, 223,448,545,814.10 and 148,965,697,209.40

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Solution

The fourth proportional to 148,965,697,209.40, 223,448,545,814.10 and 148,965,697,209.40 is: 223,448,545,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965,697,209.40 : 223,448,545,814.10 = 148,965,697,209.40 : x
  2. Step 2: Convert to fraction form
    148,965,697,209.40/223,448,545,814.10 = 148,965,697,209.40/x
  3. Step 3: Cross multiply
    148,965,697,209.40x = 223,448,545,814.10 × 148,965,697,209.40
  4. Step 4: Simplify right side
    148,965,697,209.40x = 33,286,168,417,623,965,958,144
  5. Step 5: Solve for x
    x = 33,286,168,417,623,965,958,144/148,965,697,209.40
  6. Step 6: Final answer
    x = 223,448,545,814.10

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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.