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Finding the Fourth Proportional to 6,198,747,507,000.10, 9,298,121,260,499.70 and 6,198,747,507,000.10

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Solution

The fourth proportional to 6,198,747,507,000.10, 9,298,121,260,499.70 and 6,198,747,507,000.10 is: 9,298,121,260,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,747,507,000.10 : 9,298,121,260,499.70 = 6,198,747,507,000.10 : x
  2. Step 2: Convert to fraction form
    6,198,747,507,000.10/9,298,121,260,499.70 = 6,198,747,507,000.10/x
  3. Step 3: Cross multiply
    6,198,747,507,000.10x = 9,298,121,260,499.70 × 6,198,747,507,000.10
  4. Step 4: Simplify right side
    6,198,747,507,000.10x = 57,636,705,983,307,130,442,088,448
  5. Step 5: Solve for x
    x = 57,636,705,983,307,130,442,088,448/6,198,747,507,000.10
  6. Step 6: Final answer
    x = 9,298,121,260,499.70

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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.