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Finding the Fourth Proportional to 204,781,993,775.40, 307,172,990,663.10 and 204,781,993,775.40

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Solution

The fourth proportional to 204,781,993,775.40, 307,172,990,663.10 and 204,781,993,775.40 is: 307,172,990,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781,993,775.40 : 307,172,990,663.10 = 204,781,993,775.40 : x
  2. Step 2: Convert to fraction form
    204,781,993,775.40/307,172,990,663.10 = 204,781,993,775.40/x
  3. Step 3: Cross multiply
    204,781,993,775.40x = 307,172,990,663.10 × 204,781,993,775.40
  4. Step 4: Simplify right side
    204,781,993,775.40x = 62,903,497,461,941,938,421,760
  5. Step 5: Solve for x
    x = 62,903,497,461,941,938,421,760/204,781,993,775.40
  6. Step 6: Final answer
    x = 307,172,990,663.10

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Why These Related Problems?

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