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Finding the Fourth Proportional to 922,978,453.80, 1,273,506,650.48 and 546,448,076.64

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Solution

The fourth proportional to 922,978,453.80, 1,273,506,650.48 and 546,448,076.64 is: 753,977,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,978,453.80 : 1,273,506,650.48 = 546,448,076.64 : x
  2. Step 2: Convert to fraction form
    922,978,453.80/1,273,506,650.48 = 546,448,076.64/x
  3. Step 3: Cross multiply
    922,978,453.80x = 1,273,506,650.48 × 546,448,076.64
  4. Step 4: Simplify right side
    922,978,453.80x = 695,905,259,743,044,736
  5. Step 5: Solve for x
    x = 695,905,259,743,044,736/922,978,453.80
  6. Step 6: Final answer
    x = 753,977,795.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.