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Finding the Fourth Proportional to 37,298,465,304.30, 55,947,697,956.45 and 37,298,465,304.30

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Solution

The fourth proportional to 37,298,465,304.30, 55,947,697,956.45 and 37,298,465,304.30 is: 55,947,697,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298,465,304.30 : 55,947,697,956.45 = 37,298,465,304.30 : x
  2. Step 2: Convert to fraction form
    37,298,465,304.30/55,947,697,956.45 = 37,298,465,304.30/x
  3. Step 3: Cross multiply
    37,298,465,304.30x = 55,947,697,956.45 × 37,298,465,304.30
  4. Step 4: Simplify right side
    37,298,465,304.30x = 2,086,763,271,084,106,317,824
  5. Step 5: Solve for x
    x = 2,086,763,271,084,106,317,824/37,298,465,304.30
  6. Step 6: Final answer
    x = 55,947,697,956.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.