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Finding the Fourth Proportional to 5,379,924,866,466.70, 8,069,887,299,699.70 and 5,379,924,866,466.70

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Solution

The fourth proportional to 5,379,924,866,466.70, 8,069,887,299,699.70 and 5,379,924,866,466.70 is: 8,069,887,299,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379,924,866,466.70 : 8,069,887,299,699.70 = 5,379,924,866,466.70 : x
  2. Step 2: Convert to fraction form
    5,379,924,866,466.70/8,069,887,299,699.70 = 5,379,924,866,466.70/x
  3. Step 3: Cross multiply
    5,379,924,866,466.70x = 8,069,887,299,699.70 × 5,379,924,866,466.70
  4. Step 4: Simplify right side
    5,379,924,866,466.70x = 43,415,387,353,238,228,107,788,288
  5. Step 5: Solve for x
    x = 43,415,387,353,238,228,107,788,288/5,379,924,866,466.70
  6. Step 6: Final answer
    x = 8,069,887,299,699.70

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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.