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Finding the Fourth Proportional to 1,692,300,978.10, 2,538,451,467.15 and 1,401,496,462.90

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Solution

The fourth proportional to 1,692,300,978.10, 2,538,451,467.15 and 1,401,496,462.90 is: 2,102,244,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,300,978.10 : 2,538,451,467.15 = 1,401,496,462.90 : x
  2. Step 2: Convert to fraction form
    1,692,300,978.10/2,538,451,467.15 = 1,401,496,462.90/x
  3. Step 3: Cross multiply
    1,692,300,978.10x = 2,538,451,467.15 × 1,401,496,462.90
  4. Step 4: Simplify right side
    1,692,300,978.10x = 3,557,630,752,454,041,088
  5. Step 5: Solve for x
    x = 3,557,630,752,454,041,088/1,692,300,978.10
  6. Step 6: Final answer
    x = 2,102,244,694.35

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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.