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Finding the Fourth Proportional to 498,636,019.60, 747,954,029.40 and 498,636,019.60

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Solution

The fourth proportional to 498,636,019.60, 747,954,029.40 and 498,636,019.60 is: 747,954,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,019.60 : 747,954,029.40 = 498,636,019.60 : x
  2. Step 2: Convert to fraction form
    498,636,019.60/747,954,029.40 = 498,636,019.60/x
  3. Step 3: Cross multiply
    498,636,019.60x = 747,954,029.40 × 498,636,019.60
  4. Step 4: Simplify right side
    498,636,019.60x = 372,956,820,063,797,376
  5. Step 5: Solve for x
    x = 372,956,820,063,797,376/498,636,019.60
  6. Step 6: Final answer
    x = 747,954,029.40

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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.