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Finding the Fourth Proportional to 907,645,863.20, 1,361,468,794.80 and 778,505,700.20

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Solution

The fourth proportional to 907,645,863.20, 1,361,468,794.80 and 778,505,700.20 is: 1,167,758,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,645,863.20 : 1,361,468,794.80 = 778,505,700.20 : x
  2. Step 2: Convert to fraction form
    907,645,863.20/1,361,468,794.80 = 778,505,700.20/x
  3. Step 3: Cross multiply
    907,645,863.20x = 1,361,468,794.80 × 778,505,700.20
  4. Step 4: Simplify right side
    907,645,863.20x = 1,059,911,217,396,224,128
  5. Step 5: Solve for x
    x = 1,059,911,217,396,224,128/907,645,863.20
  6. Step 6: Final answer
    x = 1,167,758,550.30

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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.