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Finding the Fourth Proportional to 66,020,150,999.70, 99,030,226,499.55 and 66,020,150,999.70

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Solution

The fourth proportional to 66,020,150,999.70, 99,030,226,499.55 and 66,020,150,999.70 is: 99,030,226,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,020,150,999.70 : 99,030,226,499.55 = 66,020,150,999.70 : x
  2. Step 2: Convert to fraction form
    66,020,150,999.70/99,030,226,499.55 = 66,020,150,999.70/x
  3. Step 3: Cross multiply
    66,020,150,999.70x = 99,030,226,499.55 × 66,020,150,999.70
  4. Step 4: Simplify right side
    66,020,150,999.70x = 6,537,990,507,034,783,514,624
  5. Step 5: Solve for x
    x = 6,537,990,507,034,783,514,624/66,020,150,999.70
  6. Step 6: Final answer
    x = 99,030,226,499.55

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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.