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Finding the Fourth Proportional to 1,194,589,097.83, 1,648,448,774.49 and 665,929,699.39

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Solution

The fourth proportional to 1,194,589,097.83, 1,648,448,774.49 and 665,929,699.39 is: 918,936,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,589,097.83 : 1,648,448,774.49 = 665,929,699.39 : x
  2. Step 2: Convert to fraction form
    1,194,589,097.83/1,648,448,774.49 = 665,929,699.39/x
  3. Step 3: Cross multiply
    1,194,589,097.83x = 1,648,448,774.49 × 665,929,699.39
  4. Step 4: Simplify right side
    1,194,589,097.83x = 1,097,750,996,851,818,624
  5. Step 5: Solve for x
    x = 1,097,750,996,851,818,624/1,194,589,097.83
  6. Step 6: Final answer
    x = 918,936,058.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.