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Finding the Fourth Proportional to 832,854,537.86, 1,241,835,873.01 and 809,972,515.22

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Solution

The fourth proportional to 832,854,537.86, 1,241,835,873.01 and 809,972,515.22 is: 1,207,717,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,854,537.86 : 1,241,835,873.01 = 809,972,515.22 : x
  2. Step 2: Convert to fraction form
    832,854,537.86/1,241,835,873.01 = 809,972,515.22/x
  3. Step 3: Cross multiply
    832,854,537.86x = 1,241,835,873.01 × 809,972,515.22
  4. Step 4: Simplify right side
    832,854,537.86x = 1,005,852,925,544,100,096
  5. Step 5: Solve for x
    x = 1,005,852,925,544,100,096/832,854,537.86
  6. Step 6: Final answer
    x = 1,207,717,410.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.