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Finding the Fourth Proportional to 2,006,455,996,502.10, 3,009,683,994,753.10 and 2,006,455,996,502.10

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Solution

The fourth proportional to 2,006,455,996,502.10, 3,009,683,994,753.10 and 2,006,455,996,502.10 is: 3,009,683,994,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,455,996,502.10 : 3,009,683,994,753.10 = 2,006,455,996,502.10 : x
  2. Step 2: Convert to fraction form
    2,006,455,996,502.10/3,009,683,994,753.10 = 2,006,455,996,502.10/x
  3. Step 3: Cross multiply
    2,006,455,996,502.10x = 3,009,683,994,753.10 × 2,006,455,996,502.10
  4. Step 4: Simplify right side
    2,006,455,996,502.10x = 6,038,798,498,848,752,552,378,368
  5. Step 5: Solve for x
    x = 6,038,798,498,848,752,552,378,368/2,006,455,996,502.10
  6. Step 6: Final answer
    x = 3,009,683,994,753.10

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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.