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Finding the Fourth Proportional to 10,089,096,000.10, 15,133,644,000.15 and 10,089,096,000.10

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Solution

The fourth proportional to 10,089,096,000.10, 15,133,644,000.15 and 10,089,096,000.10 is: 15,133,644,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089,096,000.10 : 15,133,644,000.15 = 10,089,096,000.10 : x
  2. Step 2: Convert to fraction form
    10,089,096,000.10/15,133,644,000.15 = 10,089,096,000.10/x
  3. Step 3: Cross multiply
    10,089,096,000.10x = 15,133,644,000.15 × 10,089,096,000.10
  4. Step 4: Simplify right side
    10,089,096,000.10x = 152,684,787,148,850,724,864
  5. Step 5: Solve for x
    x = 152,684,787,148,850,724,864/10,089,096,000.10
  6. Step 6: Final answer
    x = 15,133,644,000.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.