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Finding the Fourth Proportional to 1,198,978,725.52, 1,653,674,530.44 and 1,031,994,646.48

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Solution

The fourth proportional to 1,198,978,725.52, 1,653,674,530.44 and 1,031,994,646.48 is: 1,423,364,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,978,725.52 : 1,653,674,530.44 = 1,031,994,646.48 : x
  2. Step 2: Convert to fraction form
    1,198,978,725.52/1,653,674,530.44 = 1,031,994,646.48/x
  3. Step 3: Cross multiply
    1,198,978,725.52x = 1,653,674,530.44 × 1,031,994,646.48
  4. Step 4: Simplify right side
    1,198,978,725.52x = 1,706,583,262,434,407,936
  5. Step 5: Solve for x
    x = 1,706,583,262,434,407,936/1,198,978,725.52
  6. Step 6: Final answer
    x = 1,423,364,089.88

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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.