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Finding the Fourth Proportional to 7,243,346,505.60, 10,865,019,758.40 and 7,243,346,505.60

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Solution

The fourth proportional to 7,243,346,505.60, 10,865,019,758.40 and 7,243,346,505.60 is: 10,865,019,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243,346,505.60 : 10,865,019,758.40 = 7,243,346,505.60 : x
  2. Step 2: Convert to fraction form
    7,243,346,505.60/10,865,019,758.40 = 7,243,346,505.60/x
  3. Step 3: Cross multiply
    7,243,346,505.60x = 10,865,019,758.40 × 7,243,346,505.60
  4. Step 4: Simplify right side
    7,243,346,505.60x = 78,699,102,900,281,589,760
  5. Step 5: Solve for x
    x = 78,699,102,900,281,589,760/7,243,346,505.60
  6. Step 6: Final answer
    x = 10,865,019,758.40

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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.