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Finding the Fourth Proportional to 1,435,127,200.90, 2,014,620,037.10 and 1,435,127,200.90

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Solution

The fourth proportional to 1,435,127,200.90, 2,014,620,037.10 and 1,435,127,200.90 is: 2,014,620,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,127,200.90 : 2,014,620,037.10 = 1,435,127,200.90 : x
  2. Step 2: Convert to fraction form
    1,435,127,200.90/2,014,620,037.10 = 1,435,127,200.90/x
  3. Step 3: Cross multiply
    1,435,127,200.90x = 2,014,620,037.10 × 1,435,127,200.90
  4. Step 4: Simplify right side
    1,435,127,200.90x = 2,891,236,014,720,377,344
  5. Step 5: Solve for x
    x = 2,891,236,014,720,377,344/1,435,127,200.90
  6. Step 6: Final answer
    x = 2,014,620,037.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.