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Finding the Fourth Proportional to 873,493,996,002.90, 1,310,240,994,004.40 and 873,493,996,002.90

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Solution

The fourth proportional to 873,493,996,002.90, 1,310,240,994,004.40 and 873,493,996,002.90 is: 1,310,240,994,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,493,996,002.90 : 1,310,240,994,004.40 = 873,493,996,002.90 : x
  2. Step 2: Convert to fraction form
    873,493,996,002.90/1,310,240,994,004.40 = 873,493,996,002.90/x
  3. Step 3: Cross multiply
    873,493,996,002.90x = 1,310,240,994,004.40 × 873,493,996,002.90
  4. Step 4: Simplify right side
    873,493,996,002.90x = 1,144,487,641,579,715,102,244,864
  5. Step 5: Solve for x
    x = 1,144,487,641,579,715,102,244,864/873,493,996,002.90
  6. Step 6: Final answer
    x = 1,310,240,994,004.40

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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.