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Finding the Fourth Proportional to 10,314,059,610.30, 15,471,089,415.45 and 10,314,059,610.30

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Solution

The fourth proportional to 10,314,059,610.30, 15,471,089,415.45 and 10,314,059,610.30 is: 15,471,089,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314,059,610.30 : 15,471,089,415.45 = 10,314,059,610.30 : x
  2. Step 2: Convert to fraction form
    10,314,059,610.30/15,471,089,415.45 = 10,314,059,610.30/x
  3. Step 3: Cross multiply
    10,314,059,610.30x = 15,471,089,415.45 × 10,314,059,610.30
  4. Step 4: Simplify right side
    10,314,059,610.30x = 159,569,738,467,232,677,888
  5. Step 5: Solve for x
    x = 159,569,738,467,232,677,888/10,314,059,610.30
  6. Step 6: Final answer
    x = 15,471,089,415.45

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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.