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Finding the Fourth Proportional to 802,487,708.64, 1,103,505,976 and 696,457,043.20

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Solution

The fourth proportional to 802,487,708.64, 1,103,505,976 and 696,457,043.20 is: 957,702,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,487,708.64 : 1,103,505,976 = 696,457,043.20 : x
  2. Step 2: Convert to fraction form
    802,487,708.64/1,103,505,976 = 696,457,043.20/x
  3. Step 3: Cross multiply
    802,487,708.64x = 1,103,505,976 × 696,457,043.20
  4. Step 4: Simplify right side
    802,487,708.64x = 768,544,509,198,490,240
  5. Step 5: Solve for x
    x = 768,544,509,198,490,240/802,487,708.64
  6. Step 6: Final answer
    x = 957,702,530.42

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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.