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Finding the Fourth Proportional to 5,667,739,784,925.60, 8,501,609,677,388.40 and 5,667,739,784,925.60

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Solution

The fourth proportional to 5,667,739,784,925.60, 8,501,609,677,388.40 and 5,667,739,784,925.60 is: 8,501,609,677,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,784,925.60 : 8,501,609,677,388.40 = 5,667,739,784,925.60 : x
  2. Step 2: Convert to fraction form
    5,667,739,784,925.60/8,501,609,677,388.40 = 5,667,739,784,925.60/x
  3. Step 3: Cross multiply
    5,667,739,784,925.60x = 8,501,609,677,388.40 × 5,667,739,784,925.60
  4. Step 4: Simplify right side
    5,667,739,784,925.60x = 48,184,911,404,442,729,907,748,864
  5. Step 5: Solve for x
    x = 48,184,911,404,442,729,907,748,864/5,667,739,784,925.60
  6. Step 6: Final answer
    x = 8,501,609,677,388.40

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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.