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Finding the Fourth Proportional to 5,381,619,627.60, 8,072,429,441.40 and 5,381,619,627.60

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Solution

The fourth proportional to 5,381,619,627.60, 8,072,429,441.40 and 5,381,619,627.60 is: 8,072,429,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,619,627.60 : 8,072,429,441.40 = 5,381,619,627.60 : x
  2. Step 2: Convert to fraction form
    5,381,619,627.60/8,072,429,441.40 = 5,381,619,627.60/x
  3. Step 3: Cross multiply
    5,381,619,627.60x = 8,072,429,441.40 × 5,381,619,627.60
  4. Step 4: Simplify right side
    5,381,619,627.60x = 43,442,744,724,254,343,168
  5. Step 5: Solve for x
    x = 43,442,744,724,254,343,168/5,381,619,627.60
  6. Step 6: Final answer
    x = 8,072,429,441.40

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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.