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Finding the Fourth Proportional to 269,089,428,000.10, 403,634,142,000.15 and 269,089,428,000.10

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Solution

The fourth proportional to 269,089,428,000.10, 403,634,142,000.15 and 269,089,428,000.10 is: 403,634,142,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,089,428,000.10 : 403,634,142,000.15 = 269,089,428,000.10 : x
  2. Step 2: Convert to fraction form
    269,089,428,000.10/403,634,142,000.15 = 269,089,428,000.10/x
  3. Step 3: Cross multiply
    269,089,428,000.10x = 403,634,142,000.15 × 269,089,428,000.10
  4. Step 4: Simplify right side
    269,089,428,000.10x = 108,613,680,392,131,517,087,744
  5. Step 5: Solve for x
    x = 108,613,680,392,131,517,087,744/269,089,428,000.10
  6. Step 6: Final answer
    x = 403,634,142,000.15

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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.