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Finding the Fourth Proportional to 365,547,744,008.40, 547,289,659,942.20 and 365,547,744,008.40

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Solution

The fourth proportional to 365,547,744,008.40, 547,289,659,942.20 and 365,547,744,008.40 is: 547,289,659,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,547,744,008.40 : 547,289,659,942.20 = 365,547,744,008.40 : x
  2. Step 2: Convert to fraction form
    365,547,744,008.40/547,289,659,942.20 = 365,547,744,008.40/x
  3. Step 3: Cross multiply
    365,547,744,008.40x = 547,289,659,942.20 × 365,547,744,008.40
  4. Step 4: Simplify right side
    365,547,744,008.40x = 200,060,500,510,995,644,416,000
  5. Step 5: Solve for x
    x = 200,060,500,510,995,644,416,000/365,547,744,008.40
  6. Step 6: Final answer
    x = 547,289,659,942.20

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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.