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Finding the Fourth Proportional to 2,137,139,794,720.40, 3,205,709,692,080.40 and 2,137,139,794,720.40

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Solution

The fourth proportional to 2,137,139,794,720.40, 3,205,709,692,080.40 and 2,137,139,794,720.40 is: 3,205,709,692,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,139,794,720.40 : 3,205,709,692,080.40 = 2,137,139,794,720.40 : x
  2. Step 2: Convert to fraction form
    2,137,139,794,720.40/3,205,709,692,080.40 = 2,137,139,794,720.40/x
  3. Step 3: Cross multiply
    2,137,139,794,720.40x = 3,205,709,692,080.40 × 2,137,139,794,720.40
  4. Step 4: Simplify right side
    2,137,139,794,720.40x = 6,851,049,753,265,902,333,198,336
  5. Step 5: Solve for x
    x = 6,851,049,753,265,902,333,198,336/2,137,139,794,720.40
  6. Step 6: Final answer
    x = 3,205,709,692,080.40

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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.