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Finding the Fourth Proportional to 5,667,739,784,312.40, 8,501,609,676,468.40 and 5,667,739,784,312.40

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Solution

The fourth proportional to 5,667,739,784,312.40, 8,501,609,676,468.40 and 5,667,739,784,312.40 is: 8,501,609,676,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,784,312.40 : 8,501,609,676,468.40 = 5,667,739,784,312.40 : x
  2. Step 2: Convert to fraction form
    5,667,739,784,312.40/8,501,609,676,468.40 = 5,667,739,784,312.40/x
  3. Step 3: Cross multiply
    5,667,739,784,312.40x = 8,501,609,676,468.40 × 5,667,739,784,312.40
  4. Step 4: Simplify right side
    5,667,739,784,312.40x = 48,184,911,394,015,227,917,893,632
  5. Step 5: Solve for x
    x = 48,184,911,394,015,227,917,893,632/5,667,739,784,312.40
  6. Step 6: Final answer
    x = 8,501,609,676,468.40

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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.