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Finding the Fourth Proportional to 8,020,051,969,063.20, 12,030,077,953,595 and 8,020,051,969,063.20

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Solution

The fourth proportional to 8,020,051,969,063.20, 12,030,077,953,595 and 8,020,051,969,063.20 is: 12,030,077,953,595

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,051,969,063.20 : 12,030,077,953,595 = 8,020,051,969,063.20 : x
  2. Step 2: Convert to fraction form
    8,020,051,969,063.20/12,030,077,953,595 = 8,020,051,969,063.20/x
  3. Step 3: Cross multiply
    8,020,051,969,063.20x = 12,030,077,953,595 × 8,020,051,969,063.20
  4. Step 4: Simplify right side
    8,020,051,969,063.20x = 96,481,850,379,713,379,462,807,552
  5. Step 5: Solve for x
    x = 96,481,850,379,713,379,462,807,552/8,020,051,969,063.20
  6. Step 6: Final answer
    x = 12,030,077,953,595

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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.