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Finding the Fourth Proportional to 994,816,460.40, 1,489,354,909.20 and 994,816,460.40

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Solution

The fourth proportional to 994,816,460.40, 1,489,354,909.20 and 994,816,460.40 is: 1,489,354,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,816,460.40 : 1,489,354,909.20 = 994,816,460.40 : x
  2. Step 2: Convert to fraction form
    994,816,460.40/1,489,354,909.20 = 994,816,460.40/x
  3. Step 3: Cross multiply
    994,816,460.40x = 1,489,354,909.20 × 994,816,460.40
  4. Step 4: Simplify right side
    994,816,460.40x = 1,481,634,779,049,707,520
  5. Step 5: Solve for x
    x = 1,481,634,779,049,707,520/994,816,460.40
  6. Step 6: Final answer
    x = 1,489,354,909.20

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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.