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Finding the Fourth Proportional to 1,337,128,357.70, 2,005,692,536.55 and 1,337,128,357.70

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Solution

The fourth proportional to 1,337,128,357.70, 2,005,692,536.55 and 1,337,128,357.70 is: 2,005,692,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,128,357.70 : 2,005,692,536.55 = 1,337,128,357.70 : x
  2. Step 2: Convert to fraction form
    1,337,128,357.70/2,005,692,536.55 = 1,337,128,357.70/x
  3. Step 3: Cross multiply
    1,337,128,357.70x = 2,005,692,536.55 × 1,337,128,357.70
  4. Step 4: Simplify right side
    1,337,128,357.70x = 2,681,868,367,448,248,832
  5. Step 5: Solve for x
    x = 2,681,868,367,448,248,832/1,337,128,357.70
  6. Step 6: Final answer
    x = 2,005,692,536.55

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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.