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Finding the Fourth Proportional to 346,263,336,000.10, 519,395,004,000.15 and 346,263,336,000.10

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Solution

The fourth proportional to 346,263,336,000.10, 519,395,004,000.15 and 346,263,336,000.10 is: 519,395,004,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,263,336,000.10 : 519,395,004,000.15 = 346,263,336,000.10 : x
  2. Step 2: Convert to fraction form
    346,263,336,000.10/519,395,004,000.15 = 346,263,336,000.10/x
  3. Step 3: Cross multiply
    346,263,336,000.10x = 519,395,004,000.15 × 346,263,336,000.10
  4. Step 4: Simplify right side
    346,263,336,000.10x = 179,847,446,786,877,207,609,344
  5. Step 5: Solve for x
    x = 179,847,446,786,877,207,609,344/346,263,336,000.10
  6. Step 6: Final answer
    x = 519,395,004,000.15

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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.