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Finding the Fourth Proportional to 10,726,308,052.30, 16,089,462,078.45 and 10,726,308,052.30

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Solution

The fourth proportional to 10,726,308,052.30, 16,089,462,078.45 and 10,726,308,052.30 is: 16,089,462,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726,308,052.30 : 16,089,462,078.45 = 10,726,308,052.30 : x
  2. Step 2: Convert to fraction form
    10,726,308,052.30/16,089,462,078.45 = 10,726,308,052.30/x
  3. Step 3: Cross multiply
    10,726,308,052.30x = 16,089,462,078.45 × 10,726,308,052.30
  4. Step 4: Simplify right side
    10,726,308,052.30x = 172,580,526,649,253,724,160
  5. Step 5: Solve for x
    x = 172,580,526,649,253,724,160/10,726,308,052.30
  6. Step 6: Final answer
    x = 16,089,462,078.45

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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.