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Finding the Fourth Proportional to 1,510,348,032,006, 2,265,522,048,008.80 and 1,510,348,032,006

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Solution

The fourth proportional to 1,510,348,032,006, 2,265,522,048,008.80 and 1,510,348,032,006 is: 2,265,522,048,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,006 : 2,265,522,048,008.80 = 1,510,348,032,006 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,006/2,265,522,048,008.80 = 1,510,348,032,006/x
  3. Step 3: Cross multiply
    1,510,348,032,006x = 2,265,522,048,008.80 × 1,510,348,032,006
  4. Step 4: Simplify right side
    1,510,348,032,006x = 3,421,726,766,676,293,609,062,400
  5. Step 5: Solve for x
    x = 3,421,726,766,676,293,609,062,400/1,510,348,032,006
  6. Step 6: Final answer
    x = 2,265,522,048,008.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.