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Finding the Fourth Proportional to 1,510,348,032,411, 2,265,522,048,616.80 and 1,510,348,032,411

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Solution

The fourth proportional to 1,510,348,032,411, 2,265,522,048,616.80 and 1,510,348,032,411 is: 2,265,522,048,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,348,032,411 : 2,265,522,048,616.80 = 1,510,348,032,411 : x
  2. Step 2: Convert to fraction form
    1,510,348,032,411/2,265,522,048,616.80 = 1,510,348,032,411/x
  3. Step 3: Cross multiply
    1,510,348,032,411x = 2,265,522,048,616.80 × 1,510,348,032,411
  4. Step 4: Simplify right side
    1,510,348,032,411x = 3,421,726,768,512,121,545,162,752
  5. Step 5: Solve for x
    x = 3,421,726,768,512,121,545,162,752/1,510,348,032,411
  6. Step 6: Final answer
    x = 2,265,522,048,616.80

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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.