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Finding the Fourth Proportional to 4,775,753,664,000.70, 7,163,630,496,001.50 and 4,775,753,664,000.70

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Solution

The fourth proportional to 4,775,753,664,000.70, 7,163,630,496,001.50 and 4,775,753,664,000.70 is: 7,163,630,496,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775,753,664,000.70 : 7,163,630,496,001.50 = 4,775,753,664,000.70 : x
  2. Step 2: Convert to fraction form
    4,775,753,664,000.70/7,163,630,496,001.50 = 4,775,753,664,000.70/x
  3. Step 3: Cross multiply
    4,775,753,664,000.70x = 7,163,630,496,001.50 × 4,775,753,664,000.70
  4. Step 4: Simplify right side
    4,775,753,664,000.70x = 34,211,734,588,826,316,131,270,656
  5. Step 5: Solve for x
    x = 34,211,734,588,826,316,131,270,656/4,775,753,664,000.70
  6. Step 6: Final answer
    x = 7,163,630,496,001.50

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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.