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Finding the Fourth Proportional to 346,263,442,000.20, 519,395,163,000.30 and 346,263,442,000.20

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Solution

The fourth proportional to 346,263,442,000.20, 519,395,163,000.30 and 346,263,442,000.20 is: 519,395,163,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,263,442,000.20 : 519,395,163,000.30 = 346,263,442,000.20 : x
  2. Step 2: Convert to fraction form
    346,263,442,000.20/519,395,163,000.30 = 346,263,442,000.20/x
  3. Step 3: Cross multiply
    346,263,442,000.20x = 519,395,163,000.30 × 346,263,442,000.20
  4. Step 4: Simplify right side
    346,263,442,000.20x = 179,847,556,898,738,803,834,880
  5. Step 5: Solve for x
    x = 179,847,556,898,738,803,834,880/346,263,442,000.20
  6. Step 6: Final answer
    x = 519,395,163,000.30

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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.