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Finding the Fourth Proportional to 694,645,008.80, 1,041,010,919.40 and 460,810,968.80

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Solution

The fourth proportional to 694,645,008.80, 1,041,010,919.40 and 460,810,968.80 is: 690,581,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,645,008.80 : 1,041,010,919.40 = 460,810,968.80 : x
  2. Step 2: Convert to fraction form
    694,645,008.80/1,041,010,919.40 = 460,810,968.80/x
  3. Step 3: Cross multiply
    694,645,008.80x = 1,041,010,919.40 × 460,810,968.80
  4. Step 4: Simplify right side
    694,645,008.80x = 479,709,250,300,092,736
  5. Step 5: Solve for x
    x = 479,709,250,300,092,736/694,645,008.80
  6. Step 6: Final answer
    x = 690,581,871.64

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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.