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Finding the Fourth Proportional to 768,766,464,067.60, 1,153,149,696,101.40 and 768,766,464,067.60

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Solution

The fourth proportional to 768,766,464,067.60, 1,153,149,696,101.40 and 768,766,464,067.60 is: 1,153,149,696,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,766,464,067.60 : 1,153,149,696,101.40 = 768,766,464,067.60 : x
  2. Step 2: Convert to fraction form
    768,766,464,067.60/1,153,149,696,101.40 = 768,766,464,067.60/x
  3. Step 3: Cross multiply
    768,766,464,067.60x = 1,153,149,696,101.40 × 768,766,464,067.60
  4. Step 4: Simplify right side
    768,766,464,067.60x = 886,502,814,412,500,688,175,104
  5. Step 5: Solve for x
    x = 886,502,814,412,500,688,175,104/768,766,464,067.60
  6. Step 6: Final answer
    x = 1,153,149,696,101.40

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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.