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Finding the Fourth Proportional to 1,856,507,998.80, 2,783,805,404.40 and 691,376,750.40

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Solution

The fourth proportional to 1,856,507,998.80, 2,783,805,404.40 and 691,376,750.40 is: 1,036,708,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,507,998.80 : 2,783,805,404.40 = 691,376,750.40 : x
  2. Step 2: Convert to fraction form
    1,856,507,998.80/2,783,805,404.40 = 691,376,750.40/x
  3. Step 3: Cross multiply
    1,856,507,998.80x = 2,783,805,404.40 × 691,376,750.40
  4. Step 4: Simplify right side
    1,856,507,998.80x = 1,924,658,334,240,029,952
  5. Step 5: Solve for x
    x = 1,924,658,334,240,029,952/1,856,507,998.80
  6. Step 6: Final answer
    x = 1,036,708,883.28

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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.