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Finding the Fourth Proportional to 306,235,358,889.22, 459,353,038,333.83 and 306,235,358,889.22

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Solution

The fourth proportional to 306,235,358,889.22, 459,353,038,333.83 and 306,235,358,889.22 is: 459,353,038,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,235,358,889.22 : 459,353,038,333.83 = 306,235,358,889.22 : x
  2. Step 2: Convert to fraction form
    306,235,358,889.22/459,353,038,333.83 = 306,235,358,889.22/x
  3. Step 3: Cross multiply
    306,235,358,889.22x = 459,353,038,333.83 × 306,235,358,889.22
  4. Step 4: Simplify right side
    306,235,358,889.22x = 140,670,142,551,014,049,316,864
  5. Step 5: Solve for x
    x = 140,670,142,551,014,049,316,864/306,235,358,889.22
  6. Step 6: Final answer
    x = 459,353,038,333.83

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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.