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Finding the Fourth Proportional to 1,271,970,035.03, 1,754,134,385.09 and 825,455,964.03

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Solution

The fourth proportional to 1,271,970,035.03, 1,754,134,385.09 and 825,455,964.03 is: 1,138,360,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,970,035.03 : 1,754,134,385.09 = 825,455,964.03 : x
  2. Step 2: Convert to fraction form
    1,271,970,035.03/1,754,134,385.09 = 825,455,964.03/x
  3. Step 3: Cross multiply
    1,271,970,035.03x = 1,754,134,385.09 × 825,455,964.03
  4. Step 4: Simplify right side
    1,271,970,035.03x = 1,447,960,689,878,509,824
  5. Step 5: Solve for x
    x = 1,447,960,689,878,509,824/1,271,970,035.03
  6. Step 6: Final answer
    x = 1,138,360,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.