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Finding the Fourth Proportional to 6,430,672,296,000.70, 9,646,008,444,001.10 and 6,430,672,296,000.70

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Solution

The fourth proportional to 6,430,672,296,000.70, 9,646,008,444,001.10 and 6,430,672,296,000.70 is: 9,646,008,444,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,672,296,000.70 : 9,646,008,444,001.10 = 6,430,672,296,000.70 : x
  2. Step 2: Convert to fraction form
    6,430,672,296,000.70/9,646,008,444,001.10 = 6,430,672,296,000.70/x
  3. Step 3: Cross multiply
    6,430,672,296,000.70x = 9,646,008,444,001.10 × 6,430,672,296,000.70
  4. Step 4: Simplify right side
    6,430,672,296,000.70x = 62,030,319,267,826,693,067,243,520
  5. Step 5: Solve for x
    x = 62,030,319,267,826,693,067,243,520/6,430,672,296,000.70
  6. Step 6: Final answer
    x = 9,646,008,444,001.10

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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.