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Finding the Fourth Proportional to 1,149,430,993, 1,724,161,419.42 and 383,526,097

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Solution

The fourth proportional to 1,149,430,993, 1,724,161,419.42 and 383,526,097 is: 575,294,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,430,993 : 1,724,161,419.42 = 383,526,097 : x
  2. Step 2: Convert to fraction form
    1,149,430,993/1,724,161,419.42 = 383,526,097/x
  3. Step 3: Cross multiply
    1,149,430,993x = 1,724,161,419.42 × 383,526,097
  4. Step 4: Simplify right side
    1,149,430,993x = 661,260,899,788,132,608
  5. Step 5: Solve for x
    x = 661,260,899,788,132,608/1,149,430,993
  6. Step 6: Final answer
    x = 575,294,127.11

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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.