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Finding the Fourth Proportional to 2,364,300,541.80, 3,546,786,735.90 and 728,354,557.80

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Solution

The fourth proportional to 2,364,300,541.80, 3,546,786,735.90 and 728,354,557.80 is: 1,092,635,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,300,541.80 : 3,546,786,735.90 = 728,354,557.80 : x
  2. Step 2: Convert to fraction form
    2,364,300,541.80/3,546,786,735.90 = 728,354,557.80/x
  3. Step 3: Cross multiply
    2,364,300,541.80x = 3,546,786,735.90 × 728,354,557.80
  4. Step 4: Simplify right side
    2,364,300,541.80x = 2,583,318,284,637,349,888
  5. Step 5: Solve for x
    x = 2,583,318,284,637,349,888/2,364,300,541.80
  6. Step 6: Final answer
    x = 1,092,635,322.36

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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.