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Finding the Fourth Proportional to 871,314,930.10, 1,222,902,002.30 and 871,314,930.10

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Solution

The fourth proportional to 871,314,930.10, 1,222,902,002.30 and 871,314,930.10 is: 1,222,902,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,314,930.10 : 1,222,902,002.30 = 871,314,930.10 : x
  2. Step 2: Convert to fraction form
    871,314,930.10/1,222,902,002.30 = 871,314,930.10/x
  3. Step 3: Cross multiply
    871,314,930.10x = 1,222,902,002.30 × 871,314,930.10
  4. Step 4: Simplify right side
    871,314,930.10x = 1,065,532,772,653,174,528
  5. Step 5: Solve for x
    x = 1,065,532,772,653,174,528/871,314,930.10
  6. Step 6: Final answer
    x = 1,222,902,002.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.