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Finding the Fourth Proportional to 1,510,348,032,182.70, 2,265,522,048,274 and 1,510,348,032,182.70

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Solution

The fourth proportional to 1,510,348,032,182.70, 2,265,522,048,274 and 1,510,348,032,182.70 is: 2,265,522,048,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,182.70 : 2,265,522,048,274 = 1,510,348,032,182.70 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,182.70/2,265,522,048,274 = 1,510,348,032,182.70/x
  3. Step 3: Cross multiply
    1,510,348,032,182.70x = 2,265,522,048,274 × 1,510,348,032,182.70
  4. Step 4: Simplify right side
    1,510,348,032,182.70x = 3,421,726,767,477,155,759,652,864
  5. Step 5: Solve for x
    x = 3,421,726,767,477,155,759,652,864/1,510,348,032,182.70
  6. Step 6: Final answer
    x = 2,265,522,048,274

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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.