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Finding the Fourth Proportional to 1,510,348,032,245, 2,265,522,048,367.70 and 1,510,348,032,245

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Solution

The fourth proportional to 1,510,348,032,245, 2,265,522,048,367.70 and 1,510,348,032,245 is: 2,265,522,048,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,245 : 2,265,522,048,367.70 = 1,510,348,032,245 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,245/2,265,522,048,367.70 = 1,510,348,032,245/x
  3. Step 3: Cross multiply
    1,510,348,032,245x = 2,265,522,048,367.70 × 1,510,348,032,245
  4. Step 4: Simplify right side
    1,510,348,032,245x = 3,421,726,767,759,817,757,949,952
  5. Step 5: Solve for x
    x = 3,421,726,767,759,817,757,949,952/1,510,348,032,245
  6. Step 6: Final answer
    x = 2,265,522,048,367.70

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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.