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Finding the Fourth Proportional to 148,965,370,776.90, 223,448,056,165.35 and 148,965,370,776.90

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Solution

The fourth proportional to 148,965,370,776.90, 223,448,056,165.35 and 148,965,370,776.90 is: 223,448,056,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965,370,776.90 : 223,448,056,165.35 = 148,965,370,776.90 : x
  2. Step 2: Convert to fraction form
    148,965,370,776.90/223,448,056,165.35 = 148,965,370,776.90/x
  3. Step 3: Cross multiply
    148,965,370,776.90x = 223,448,056,165.35 × 148,965,370,776.90
  4. Step 4: Simplify right side
    148,965,370,776.90x = 33,286,022,536,048,939,106,304
  5. Step 5: Solve for x
    x = 33,286,022,536,048,939,106,304/148,965,370,776.90
  6. Step 6: Final answer
    x = 223,448,056,165.35

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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.