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Finding the Fourth Proportional to 1,449,792,854.70, 2,174,689,282.05 and 1,449,792,854.70

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Solution

The fourth proportional to 1,449,792,854.70, 2,174,689,282.05 and 1,449,792,854.70 is: 2,174,689,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,792,854.70 : 2,174,689,282.05 = 1,449,792,854.70 : x
  2. Step 2: Convert to fraction form
    1,449,792,854.70/2,174,689,282.05 = 1,449,792,854.70/x
  3. Step 3: Cross multiply
    1,449,792,854.70x = 2,174,689,282.05 × 1,449,792,854.70
  4. Step 4: Simplify right side
    1,449,792,854.70x = 3,152,848,982,308,763,136
  5. Step 5: Solve for x
    x = 3,152,848,982,308,763,136/1,449,792,854.70
  6. Step 6: Final answer
    x = 2,174,689,282.05

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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.