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Finding the Fourth Proportional to 346,263,440,203.20, 519,395,160,304.80 and 346,263,440,203.20

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Solution

The fourth proportional to 346,263,440,203.20, 519,395,160,304.80 and 346,263,440,203.20 is: 519,395,160,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,263,440,203.20 : 519,395,160,304.80 = 346,263,440,203.20 : x
  2. Step 2: Convert to fraction form
    346,263,440,203.20/519,395,160,304.80 = 346,263,440,203.20/x
  3. Step 3: Cross multiply
    346,263,440,203.20x = 519,395,160,304.80 × 346,263,440,203.20
  4. Step 4: Simplify right side
    346,263,440,203.20x = 179,847,555,032,032,603,013,120
  5. Step 5: Solve for x
    x = 179,847,555,032,032,603,013,120/346,263,440,203.20
  6. Step 6: Final answer
    x = 519,395,160,304.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.