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Finding the Fourth Proportional to 672,984,750.71, 1,008,627,978.26 and 341,075,156.40

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Solution

The fourth proportional to 672,984,750.71, 1,008,627,978.26 and 341,075,156.40 is: 511,182,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,984,750.71 : 1,008,627,978.26 = 341,075,156.40 : x
  2. Step 2: Convert to fraction form
    672,984,750.71/1,008,627,978.26 = 341,075,156.40/x
  3. Step 3: Cross multiply
    672,984,750.71x = 1,008,627,978.26 × 341,075,156.40
  4. Step 4: Simplify right side
    672,984,750.71x = 344,017,945,435,297,984
  5. Step 5: Solve for x
    x = 344,017,945,435,297,984/672,984,750.71
  6. Step 6: Final answer
    x = 511,182,378.31

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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.