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Finding the Fourth Proportional to 5,410,366,308.05, 8,115,549,462.08 and 5,410,366,308.05

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Solution

The fourth proportional to 5,410,366,308.05, 8,115,549,462.08 and 5,410,366,308.05 is: 8,115,549,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,366,308.05 : 8,115,549,462.08 = 5,410,366,308.05 : x
  2. Step 2: Convert to fraction form
    5,410,366,308.05/8,115,549,462.08 = 5,410,366,308.05/x
  3. Step 3: Cross multiply
    5,410,366,308.05x = 8,115,549,462.08 × 5,410,366,308.05
  4. Step 4: Simplify right side
    5,410,366,308.05x = 43,908,095,380,950,933,504
  5. Step 5: Solve for x
    x = 43,908,095,380,950,933,504/5,410,366,308.05
  6. Step 6: Final answer
    x = 8,115,549,462.08

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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.