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Finding the Fourth Proportional to 5,410,366,316.55, 8,115,549,474.83 and 5,410,366,316.55

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Solution

The fourth proportional to 5,410,366,316.55, 8,115,549,474.83 and 5,410,366,316.55 is: 8,115,549,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,366,316.55 : 8,115,549,474.83 = 5,410,366,316.55 : x
  2. Step 2: Convert to fraction form
    5,410,366,316.55/8,115,549,474.83 = 5,410,366,316.55/x
  3. Step 3: Cross multiply
    5,410,366,316.55x = 8,115,549,474.83 × 5,410,366,316.55
  4. Step 4: Simplify right side
    5,410,366,316.55x = 43,908,095,518,888,222,720
  5. Step 5: Solve for x
    x = 43,908,095,518,888,222,720/5,410,366,316.55
  6. Step 6: Final answer
    x = 8,115,549,474.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.