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Finding the Fourth Proportional to 101,998,010.90, 152,913,647.90 and 47,444,608.10

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Solution

The fourth proportional to 101,998,010.90, 152,913,647.90 and 47,444,608.10 is: 71,128,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998,010.90 : 152,913,647.90 = 47,444,608.10 : x
  2. Step 2: Convert to fraction form
    101,998,010.90/152,913,647.90 = 47,444,608.10/x
  3. Step 3: Cross multiply
    101,998,010.90x = 152,913,647.90 × 47,444,608.10
  4. Step 4: Simplify right side
    101,998,010.90x = 7,254,928,097,756,889
  5. Step 5: Solve for x
    x = 7,254,928,097,756,889/101,998,010.90
  6. Step 6: Final answer
    x = 71,128,133.12

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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.