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Finding the Fourth Proportional to 1,000,392,397.83, 1,380,549,614.64 and 554,363,211.36

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Solution

The fourth proportional to 1,000,392,397.83, 1,380,549,614.64 and 554,363,211.36 is: 765,025,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,392,397.83 : 1,380,549,614.64 = 554,363,211.36 : x
  2. Step 2: Convert to fraction form
    1,000,392,397.83/1,380,549,614.64 = 554,363,211.36/x
  3. Step 3: Cross multiply
    1,000,392,397.83x = 1,380,549,614.64 × 554,363,211.36
  4. Step 4: Simplify right side
    1,000,392,397.83x = 765,325,917,810,869,120
  5. Step 5: Solve for x
    x = 765,325,917,810,869,120/1,000,392,397.83
  6. Step 6: Final answer
    x = 765,025,723.38

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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.