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Finding the Fourth Proportional to 663,765,230.10, 993,734,657.55 and 663,765,230.10

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Solution

The fourth proportional to 663,765,230.10, 993,734,657.55 and 663,765,230.10 is: 993,734,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,765,230.10 : 993,734,657.55 = 663,765,230.10 : x
  2. Step 2: Convert to fraction form
    663,765,230.10/993,734,657.55 = 663,765,230.10/x
  3. Step 3: Cross multiply
    663,765,230.10x = 993,734,657.55 × 663,765,230.10
  4. Step 4: Simplify right side
    663,765,230.10x = 659,606,513,627,020,416
  5. Step 5: Solve for x
    x = 659,606,513,627,020,416/663,765,230.10
  6. Step 6: Final answer
    x = 993,734,657.55

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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.