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Finding the Fourth Proportional to 1,006,970,562.20, 1,510,455,843.30 and 1,006,970,562.20

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Solution

The fourth proportional to 1,006,970,562.20, 1,510,455,843.30 and 1,006,970,562.20 is: 1,510,455,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,970,562.20 : 1,510,455,843.30 = 1,006,970,562.20 : x
  2. Step 2: Convert to fraction form
    1,006,970,562.20/1,510,455,843.30 = 1,006,970,562.20/x
  3. Step 3: Cross multiply
    1,006,970,562.20x = 1,510,455,843.30 × 1,006,970,562.20
  4. Step 4: Simplify right side
    1,006,970,562.20x = 1,520,984,569,706,076,160
  5. Step 5: Solve for x
    x = 1,520,984,569,706,076,160/1,006,970,562.20
  6. Step 6: Final answer
    x = 1,510,455,843.30

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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.